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6 grade maths

Determine if the following is in proportion: 33, 121, 9, 96

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To determine if the numbers 33, 121, 9, and 96 are in proportion, we use the concept of proportionality. Four numbers \( a, b, c, d \) are said to be in proportion if:

\[
\frac{a}{b} = \frac{c}{d}
\]

Here, the numbers are \( a = 33, b = 121, c = 9, \) and \( d = 96 \). Let's check the condition.

Step 1: Compute the ratio \( \frac{a}{b} \):
\[
\frac{33}{121}
\]

Step 2: Compute the ratio \( \frac{c}{d} \):
\[
\frac{9}{96}
\]

Step 3: Compare the two ratios. To do this, calculate their decimal forms or cross-multiply to verify equality.

\[
33 \times 96 = 3168 \quad \text{and} \quad 121 \times 9 = 1089
\]

Since \( 3168 \neq 1089 \), the two ratios are not equal.

Conclusion:
The numbers 33, 121, 9, and 96 are **not** in proportion.