Step-by-step explanation: To solve this problem we can use fractions for example since the total of the ratios is 6 then we have the fractions 1/6, 2/6, and 3/6 so we multiply 1/6 by 5 1/4 we get 21/24= 7/8 then if we multiply 5 1/4 by 2/6 we get 42/24= 21/12 and lastly we have 5 1/4 and 3/6 to get 63/24= 21/8. so the rope lengths are 7/8, 21/12 and 21/8