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Finding the Fourth Proportional to 137.67, 207.42 and 124.86

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Solution

The fourth proportional to 137.67, 207.42 and 124.86 is: 188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 207.42 = 124.86 : x
  2. Step 2: Convert to fraction form
    137.67/207.42 = 124.86/x
  3. Step 3: Cross multiply
    137.67x = 207.42 × 124.86
  4. Step 4: Simplify right side
    137.67x = 25,898.46
  5. Step 5: Solve for x
    x = 25,898.46/137.67
  6. Step 6: Final answer
    x = 188.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.