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Finding the Fourth Proportional to 132.52, 198.72 and 106.92

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Solution

The fourth proportional to 132.52, 198.72 and 106.92 is: 160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.52 : 198.72 = 106.92 : x
  2. Step 2: Convert to fraction form
    132.52/198.72 = 106.92/x
  3. Step 3: Cross multiply
    132.52x = 198.72 × 106.92
  4. Step 4: Simplify right side
    132.52x = 21,247.14
  5. Step 5: Solve for x
    x = 21,247.14/132.52
  6. Step 6: Final answer
    x = 160.33

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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.