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Finding the Fourth Proportional to 87.07, 130.52 and 46.52

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Solution

The fourth proportional to 87.07, 130.52 and 46.52 is: 69.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.07 : 130.52 = 46.52 : x
  2. Step 2: Convert to fraction form
    87.07/130.52 = 46.52/x
  3. Step 3: Cross multiply
    87.07x = 130.52 × 46.52
  4. Step 4: Simplify right side
    87.07x = 6,071.25
  5. Step 5: Solve for x
    x = 6,071.25/87.07
  6. Step 6: Final answer
    x = 69.73

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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.