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Finding the Fourth Proportional to 124.78, 171.84 and 113.17

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Solution

The fourth proportional to 124.78, 171.84 and 113.17 is: 155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.78 : 171.84 = 113.17 : x
  2. Step 2: Convert to fraction form
    124.78/171.84 = 113.17/x
  3. Step 3: Cross multiply
    124.78x = 171.84 × 113.17
  4. Step 4: Simplify right side
    124.78x = 19,447.13
  5. Step 5: Solve for x
    x = 19,447.13/124.78
  6. Step 6: Final answer
    x = 155.85

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