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Finding the Fourth Proportional to 138.52, 207.76 and 47.24

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Solution

The fourth proportional to 138.52, 207.76 and 47.24 is: 70.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.52 : 207.76 = 47.24 : x
  2. Step 2: Convert to fraction form
    138.52/207.76 = 47.24/x
  3. Step 3: Cross multiply
    138.52x = 207.76 × 47.24
  4. Step 4: Simplify right side
    138.52x = 9,814.58
  5. Step 5: Solve for x
    x = 9,814.58/138.52
  6. Step 6: Final answer
    x = 70.85

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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.