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Finding the Fourth Proportional to 132.38, 182.61 and 99.62

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Solution

The fourth proportional to 132.38, 182.61 and 99.62 is: 137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 182.61 = 99.62 : x
  2. Step 2: Convert to fraction form
    132.38/182.61 = 99.62/x
  3. Step 3: Cross multiply
    132.38x = 182.61 × 99.62
  4. Step 4: Simplify right side
    132.38x = 18,190.70
  5. Step 5: Solve for x
    x = 18,190.70/132.38
  6. Step 6: Final answer
    x = 137.42

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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.