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Finding the Fourth Proportional to 124.31, 171.54 and 82.85

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Solution

The fourth proportional to 124.31, 171.54 and 82.85 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.31 : 171.54 = 82.85 : x
  2. Step 2: Convert to fraction form
    124.31/171.54 = 82.85/x
  3. Step 3: Cross multiply
    124.31x = 171.54 × 82.85
  4. Step 4: Simplify right side
    124.31x = 14,211.95
  5. Step 5: Solve for x
    x = 14,211.95/124.31
  6. Step 6: Final answer
    x = 114.33

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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.