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Finding the Fourth Proportional to 125.60, 173.21 and 81.86

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Solution

The fourth proportional to 125.60, 173.21 and 81.86 is: 112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.60 : 173.21 = 81.86 : x
  2. Step 2: Convert to fraction form
    125.60/173.21 = 81.86/x
  3. Step 3: Cross multiply
    125.60x = 173.21 × 81.86
  4. Step 4: Simplify right side
    125.60x = 14,177.70
  5. Step 5: Solve for x
    x = 14,177.70/125.60
  6. Step 6: Final answer
    x = 112.88

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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.