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Finding the Fourth Proportional to 113.85, 169.32 and 112.43

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Solution

The fourth proportional to 113.85, 169.32 and 112.43 is: 167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.85 : 169.32 = 112.43 : x
  2. Step 2: Convert to fraction form
    113.85/169.32 = 112.43/x
  3. Step 3: Cross multiply
    113.85x = 169.32 × 112.43
  4. Step 4: Simplify right side
    113.85x = 19,035.80
  5. Step 5: Solve for x
    x = 19,035.80/113.85
  6. Step 6: Final answer
    x = 167.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.