Final answer:
To find the ratio of y to x, the equation y = (7/8)z and z = (4/3)x are combined to yield y = (7/6)x. Therefore, the ratio of y to x is 7/6.
Step-by-step explanation:
To find the ratio of y to x, we first need to establish the relationship between side y and side z, and then between side z and side x. Given that side z is (4/3) of side x, and side y is (7/8) of side z, we can set up a chain of ratios to find the final ratio of y to x.
First, let's express side z in terms of x: z = (4/3)x.
Next, express side y in terms of z: y = (7/8)z.
Substitute the expression for z into the equation for y to get y in terms of x:
y = (7/8)((4/3)x) = (7/8) * (4/3) * x = (28/24)x.
We can simplify this to:
y = (7/6)x.
Therefore, the ratio of y to x is 7/6.