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Finding the Fourth Proportional to 87.34, 130.86 and 46.64

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Solution

The fourth proportional to 87.34, 130.86 and 46.64 is: 69.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.34 : 130.86 = 46.64 : x
  2. Step 2: Convert to fraction form
    87.34/130.86 = 46.64/x
  3. Step 3: Cross multiply
    87.34x = 130.86 × 46.64
  4. Step 4: Simplify right side
    87.34x = 6,103.31
  5. Step 5: Solve for x
    x = 6,103.31/87.34
  6. Step 6: Final answer
    x = 69.88

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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.