Finding the Fourth Proportional to 113.05, 169.30 and 82.68
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Solution
The fourth proportional to 113.05, 169.30 and 82.68 is: 123.82
Step by Step Solution
- Step 1: Write the proportion equation
113.05 : 169.30 = 82.68 : x - Step 2: Convert to fraction form
113.05/169.30 = 82.68/x - Step 3: Cross multiply
113.05x = 169.30 × 82.68 - Step 4: Simplify right side
113.05x = 13,997.72 - Step 5: Solve for x
x = 13,997.72/113.05 - Step 6: Final answer
x = 123.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.