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Finding the Fourth Proportional to 124.28, 171.60 and 99.86

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Solution

The fourth proportional to 124.28, 171.60 and 99.86 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.28 : 171.60 = 99.86 : x
  2. Step 2: Convert to fraction form
    124.28/171.60 = 99.86/x
  3. Step 3: Cross multiply
    124.28x = 171.60 × 99.86
  4. Step 4: Simplify right side
    124.28x = 17,135.98
  5. Step 5: Solve for x
    x = 17,135.98/124.28
  6. Step 6: Final answer
    x = 137.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.