Finding the Fourth Proportional to 309.08, 463.32 and 113.92
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Solution
The fourth proportional to 309.08, 463.32 and 113.92 is: 170.77
Step by Step Solution
- Step 1: Write the proportion equation
309.08 : 463.32 = 113.92 : x - Step 2: Convert to fraction form
309.08/463.32 = 113.92/x - Step 3: Cross multiply
309.08x = 463.32 × 113.92 - Step 4: Simplify right side
309.08x = 52,781.41 - Step 5: Solve for x
x = 52,781.41/309.08 - Step 6: Final answer
x = 170.77
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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.