The hosts posted 306-9 as Aneurin Donald smashed 115 from 73 balls.

Despite half-centuries from Gareth Roderick, Rob Jones and Jake Libby, Brad Wheal’s four wickets in nine balls led Hampshire to victory.

In the last four, Hampshire will face Warwickshire on Tuesday (11:00 BST).

Leicestershire will host Gloucestershire in the second semi-final later in the day (14:00)

Hampshire has now beaten Worcestershire three consecutive times at Southampton in the One-Day Cup. In July, they skittled the Rapids for 100 in the T20 Blast quarter-finals at the Ageas.

Fletcha Middleton hit seven boundaries in his 41 to give the hosts a solid starting point, before Ben Brown and Donald put together a 162-run fourth-wicket stand in 21 overs.

On his way to reaching a century, Donald hit 18 off four balls from Dillon Pennington, marking his half-century off 40 deliveries.

Before Tuesday’s game against Kent, when he hit 106 from 73 balls, the Welsh batter had scored 773 runs in 40 innings at an average of 19.32, and he went even bigger this time, smashing 13 fours and four maximums before holing out.

As Worcestershire claimed five wickets for just 34 runs in the final eight overs, Brown struck 66 before being caught behind by Cox off Pennington.

After Keith Barker caught Azhar Ali behind in his second over of the reply, Gareth Roderick and Rob Jones put on 124 for the second wicket in 20 overs.

After reaching his fourth half-century of the competition, Libby added 66 in eight overs with Cox (26), before the latter was caught by Liam Dawson at long-off, off Wheal, leaving the visitors needing 33 from 22 balls.

Wheal then accounted for Logan van Beek and Joe Leach lbw, and bowled Pennington, while Dawson caught Libby for a run-a-ball 70 just inside the rope at mid-wicket off Barker to start the celebrations.