Opener Rummans partnered prolific run-maker Brad Hodge to rack up a 166-run stand in Victoria's second innings on Tuesday.
Hodge finished four runs shy of a ton when he was caught behind off Adam Griffith.
Griffith, who Monday bagged a career-best 7-54, went on to claim the coveted scalp of David Hussey (67) for figures of 3-87.
In Adelaide, South Australia's decision to bowl first reaped early dividends before Queensland recovered to a first innings score of 279 at Adelaide Oval.
Queensland slipped to 209 for eight before the last two wickets produced 70 runs, thanks to the aggression of Ashley Noffke (44 not out), Nathan Hauritz (13) and Joe Dawes (15).
South Australia were 35 without loss at stumps, with Tom Plant on 18 and Greg Blewett 14.
Andrew Symonds and James Hopes led Queensland's run chase, with Symonds smacking 44 off 54 balls and Hopes compiling a neat 57.
Paul Rofe was a lively spearhead of SA's attack with 5-93 off 24.2 overs, including 3-8 in the space of 18 balls to remove Hopes, Andy Bichel (1) and Wade Seccombe (24).