Partick Thistle overturned a first-leg deficit to knock out Ayr United thanks to a 2-0 victory in front of 5,308 fans at Somerset Park on Friday night.
Scott Brown's side led 1-0 from Tuesday's match at Firhill but Jags player/manager Brian Graham levelled things up after just six minutes.
And it was Graham who fired home a dramatic late winner to set up a semi-final meeting with Livingston on Tuesday and Friday of next week.
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