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Finding the Fourth Proportional to 132.17, 198.22 and 55.11

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Solution

The fourth proportional to 132.17, 198.22 and 55.11 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.17 : 198.22 = 55.11 : x
  2. Step 2: Convert to fraction form
    132.17/198.22 = 55.11/x
  3. Step 3: Cross multiply
    132.17x = 198.22 × 55.11
  4. Step 4: Simplify right side
    132.17x = 10,923.90
  5. Step 5: Solve for x
    x = 10,923.90/132.17
  6. Step 6: Final answer
    x = 82.65

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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.