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Finding the Fourth Proportional to 132.88, 198.38 and 113.62

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Solution

The fourth proportional to 132.88, 198.38 and 113.62 is: 169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.88 : 198.38 = 113.62 : x
  2. Step 2: Convert to fraction form
    132.88/198.38 = 113.62/x
  3. Step 3: Cross multiply
    132.88x = 198.38 × 113.62
  4. Step 4: Simplify right side
    132.88x = 22,540.15
  5. Step 5: Solve for x
    x = 22,540.15/132.88
  6. Step 6: Final answer
    x = 169.63

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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.