Peaty and his professional partner Katya Jones performed a jive to Little Bitty Pretty One by Frankie Lymon and The Teenagers, while Ramsay and Nikita Kuzmin tackled a Tango to Ava Max's Kings & Queens.
The Olympian found himself at the bottom of the Strictly Come Dancing leaderboard based on judges' scores, with BBC Breakfast host Dan Walker placing second-to-last for his Couple's Choice dance with Nadiya Bychkova.
However, the audience vote declared that Ramsay, who had placed seventh (out of nine), would be joining Peaty in the dance-off. She avoided elimination after securing support from Anton Du Beke, Motsi Mabuse and Craig Revel Horwood.
Following this weekend's impressive show, there are now eight contestants left in the Strictly Come Dancing 2021 line-up, with AJ Odudu, Rose Ayling-Ellis and John Whaite shaping up to be frontrunners (based on their recent scores).
That said, it's impossible to predict exactly who will make it into the final of Strictly Come Dancing this year, with several more weeks of dedicated practice and improvement still to come.
Get voting in our Strictly Come Dancing poll and keep an eye out for updates on RadioTimes.com, as we'll be announcing the results in a news story later this week.