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Finding the Fourth Proportional to 132.62, 198.79 and 84.54

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Solution

The fourth proportional to 132.62, 198.79 and 84.54 is: 126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.62 : 198.79 = 84.54 : x
  2. Step 2: Convert to fraction form
    132.62/198.79 = 84.54/x
  3. Step 3: Cross multiply
    132.62x = 198.79 × 84.54
  4. Step 4: Simplify right side
    132.62x = 16,805.71
  5. Step 5: Solve for x
    x = 16,805.71/132.62
  6. Step 6: Final answer
    x = 126.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.