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Finding the Fourth Proportional to 132.08, 198.38 and 107.74

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Solution

The fourth proportional to 132.08, 198.38 and 107.74 is: 161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.08 : 198.38 = 107.74 : x
  2. Step 2: Convert to fraction form
    132.08/198.38 = 107.74/x
  3. Step 3: Cross multiply
    132.08x = 198.38 × 107.74
  4. Step 4: Simplify right side
    132.08x = 21,373.98
  5. Step 5: Solve for x
    x = 21,373.98/132.08
  6. Step 6: Final answer
    x = 161.83

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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.