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Finding the Fourth Proportional to 138.52, 208.16 and 124.24

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Solution

The fourth proportional to 138.52, 208.16 and 124.24 is: 186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.52 : 208.16 = 124.24 : x
  2. Step 2: Convert to fraction form
    138.52/208.16 = 124.24/x
  3. Step 3: Cross multiply
    138.52x = 208.16 × 124.24
  4. Step 4: Simplify right side
    138.52x = 25,861.80
  5. Step 5: Solve for x
    x = 25,861.80/138.52
  6. Step 6: Final answer
    x = 186.70

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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.