To determine if the ratios 84/105 and 128/160 are proportional, we can check if their cross products are equal. Another way to determine if the ratios are proportional is to simplify them.
To simplify the ratios, we can find the greatest common divisor (GCD) of the numerators and denominators of each ratio and divide them by the GCD.
For the ratio 84/105:
GCD of 84 and 105 = 21
84 divided by 21 = 4
105 divided by 21 = 5
So, the simplified ratio is 4/5.
For the ratio 128/160:
GCD of 128 and 160 = 32
128 divided by 32 = 4
160 divided by 32 = 5
So, the simplified ratio is also 4/5.
Since the simplified ratios of 84/105 and 128/160 are both 4/5, we can conclude that the ratios are proportional.