Final answer:
To solve for the unknown PR in the given ratios, we can set up a proportion and solve for x.
Step-by-step explanation:
To solve for the unknown PR, we can use the fact that the ratio QR/EH is equal to the ratio PQ/FG, which is also equal to the ratio PR/FH. In this case, we are given that QR/EH is 12/8, PQ/FG is 6/4, and PR/FH is x/10. To find the value of x, we can set up a proportion:
QR/EH = PQ/FG = PR/FH
12/8 = 6/4 = x/10
Cross multiplying, we get:
12 * 10 = 8 * x
120 = 8x
Dividing both sides by 8, we find that x = 15.