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Finding the Fourth Proportional to 87.65, 131.37 and 78.54

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Solution

The fourth proportional to 87.65, 131.37 and 78.54 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.65 : 131.37 = 78.54 : x
  2. Step 2: Convert to fraction form
    87.65/131.37 = 78.54/x
  3. Step 3: Cross multiply
    87.65x = 131.37 × 78.54
  4. Step 4: Simplify right side
    87.65x = 10,317.80
  5. Step 5: Solve for x
    x = 10,317.80/87.65
  6. Step 6: Final answer
    x = 117.72

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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.