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Finding the Fourth Proportional to 87.32, 120.58 and 56.29

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Solution

The fourth proportional to 87.32, 120.58 and 56.29 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.32 : 120.58 = 56.29 : x
  2. Step 2: Convert to fraction form
    87.32/120.58 = 56.29/x
  3. Step 3: Cross multiply
    87.32x = 120.58 × 56.29
  4. Step 4: Simplify right side
    87.32x = 6,787.38
  5. Step 5: Solve for x
    x = 6,787.38/87.32
  6. Step 6: Final answer
    x = 77.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.