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Finding the Fourth Proportional to 87.52, 130.66 and 78.88

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Solution

The fourth proportional to 87.52, 130.66 and 78.88 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.52 : 130.66 = 78.88 : x
  2. Step 2: Convert to fraction form
    87.52/130.66 = 78.88/x
  3. Step 3: Cross multiply
    87.52x = 130.66 × 78.88
  4. Step 4: Simplify right side
    87.52x = 10,305.81
  5. Step 5: Solve for x
    x = 10,305.81/87.52
  6. Step 6: Final answer
    x = 117.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.