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Finding the Fourth Proportional to 118.10, 176.88 and 113.42

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Solution

The fourth proportional to 118.10, 176.88 and 113.42 is: 169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.10 : 176.88 = 113.42 : x
  2. Step 2: Convert to fraction form
    118.10/176.88 = 113.42/x
  3. Step 3: Cross multiply
    118.10x = 176.88 × 113.42
  4. Step 4: Simplify right side
    118.10x = 20,061.73
  5. Step 5: Solve for x
    x = 20,061.73/118.10
  6. Step 6: Final answer
    x = 169.87

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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.