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Finding the Fourth Proportional to 132.57, 198.83 and 41.27

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Solution

The fourth proportional to 132.57, 198.83 and 41.27 is: 61.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 198.83 = 41.27 : x
  2. Step 2: Convert to fraction form
    132.57/198.83 = 41.27/x
  3. Step 3: Cross multiply
    132.57x = 198.83 × 41.27
  4. Step 4: Simplify right side
    132.57x = 8,205.71
  5. Step 5: Solve for x
    x = 8,205.71/132.57
  6. Step 6: Final answer
    x = 61.90

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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.