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Finding the Fourth Proportional to 124.50, 171.75 and 99.97

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Solution

The fourth proportional to 124.50, 171.75 and 99.97 is: 137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.50 : 171.75 = 99.97 : x
  2. Step 2: Convert to fraction form
    124.50/171.75 = 99.97/x
  3. Step 3: Cross multiply
    124.50x = 171.75 × 99.97
  4. Step 4: Simplify right side
    124.50x = 17,169.85
  5. Step 5: Solve for x
    x = 17,169.85/124.50
  6. Step 6: Final answer
    x = 137.91

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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.