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Finding the Fourth Proportional to 124.13, 171.15 and 84.71

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Solution

The fourth proportional to 124.13, 171.15 and 84.71 is: 116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.13 : 171.15 = 84.71 : x
  2. Step 2: Convert to fraction form
    124.13/171.15 = 84.71/x
  3. Step 3: Cross multiply
    124.13x = 171.15 × 84.71
  4. Step 4: Simplify right side
    124.13x = 14,498.23
  5. Step 5: Solve for x
    x = 14,498.23/124.13
  6. Step 6: Final answer
    x = 116.80

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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.