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Finding the Fourth Proportional to 132.38, 198.02 and 91.67

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Solution

The fourth proportional to 132.38, 198.02 and 91.67 is: 137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 198.02 = 91.67 : x
  2. Step 2: Convert to fraction form
    132.38/198.02 = 91.67/x
  3. Step 3: Cross multiply
    132.38x = 198.02 × 91.67
  4. Step 4: Simplify right side
    132.38x = 18,152.04
  5. Step 5: Solve for x
    x = 18,152.04/132.38
  6. Step 6: Final answer
    x = 137.12

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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.