Do the ratios \( 30: 14 \) and \( 91: 56 \) form a proportion?

To determine if the ratios \( 30: 14 \) and \( 91: 56 \) form a proportion, we can check if the cross products are equal. This means we'll calculate \( 30 \times 56 \) and \( 14 \times 91 \). Calculating the cross products: - \( 30 \times 56 = 1680 \) - \( 14 \times 91 = 1274 \) Since \( 1680 \neq 1274 \), the ratios do not form a proportion. To further clarify, a proportion indicates that two fractions or ratios are equivalent. In this case, comparing the two gives us insight into their relationships—understanding how ratios work can be quite handy in everyday life, from cooking measurements to mixing paint colors. Just remember, when working with proportions, keep an eye on that cross-multiplication to ensure you’re getting the right balance!