Final answer:
To determine whether the ratios 15/20 and 27/35 are proportional, set up a proportion and check if the cross products are equal. The ratios are not proportional.
Step-by-step explanation:
To determine whether the ratios 15/20 and 27/35 are proportional, you can set up a proportion by setting the two ratios equal to each other. This can be done by cross-multiplying. If the cross products are equal, then the ratios are proportional.
15/20 = x/35
Cross-multiplying, we get 15 * 35 = 20 * x. Simplifying, we have 525 = 20x. Dividing both sides by 20, we find x = 26.25.
Therefore, the two ratios 15/20 and 27/35 are not proportional.