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Finding the Fourth Proportional to 87.29, 131.09 and 53.11

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Solution

The fourth proportional to 87.29, 131.09 and 53.11 is: 79.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.29 : 131.09 = 53.11 : x
  2. Step 2: Convert to fraction form
    87.29/131.09 = 53.11/x
  3. Step 3: Cross multiply
    87.29x = 131.09 × 53.11
  4. Step 4: Simplify right side
    87.29x = 6,962.19
  5. Step 5: Solve for x
    x = 6,962.19/87.29
  6. Step 6: Final answer
    x = 79.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.