Dwight Howard paced the Rockets, who remained alive with a victory, with 22 points and 14 boards while Omar Asik contributed 10 points and hauled in 15 caroms.
Wesley Mathew scored 27 points on 9-of-18 shooting and Damian Lilliard, who also was 9-of-18 from the floor, added 26 points. Blazers leading scorer LaMarcus Aldridge was held to just eight points on 3-of-12 shooting.
Portland leads the series 3-2 with Game six on tap for May 2.
The patch, which pays tribute to the signature plaid outfits Ramsay was famous for when he coached the team from 1976 to 1986, has the number "77" on it for the year he led the Trail Blazers to their only NBA title.
Ramsay, who went on to have a 17-year broadcasting career as an analyst for ESPN radio, died Monday after a long battle with cancer. The Hal of Famer was 89.
The Blazers the Blazers will wear throughout the postseason and is the first of many tributes the team says it will have to honor Ramsay.