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Finding the Fourth Proportional to 113.18, 169.86 and 82.76

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Solution

The fourth proportional to 113.18, 169.86 and 82.76 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.18 : 169.86 = 82.76 : x
  2. Step 2: Convert to fraction form
    113.18/169.86 = 82.76/x
  3. Step 3: Cross multiply
    113.18x = 169.86 × 82.76
  4. Step 4: Simplify right side
    113.18x = 14,057.61
  5. Step 5: Solve for x
    x = 14,057.61/113.18
  6. Step 6: Final answer
    x = 124.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.