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Finding the Fourth Proportional to 124.59, 171.72 and 96.92

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Solution

The fourth proportional to 124.59, 171.72 and 96.92 is: 133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.59 : 171.72 = 96.92 : x
  2. Step 2: Convert to fraction form
    124.59/171.72 = 96.92/x
  3. Step 3: Cross multiply
    124.59x = 171.72 × 96.92
  4. Step 4: Simplify right side
    124.59x = 16,642.24
  5. Step 5: Solve for x
    x = 16,642.24/124.59
  6. Step 6: Final answer
    x = 133.58

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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.