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Finding the Fourth Proportional to 132.39, 198.41 and 98.37

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Solution

The fourth proportional to 132.39, 198.41 and 98.37 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.39 : 198.41 = 98.37 : x
  2. Step 2: Convert to fraction form
    132.39/198.41 = 98.37/x
  3. Step 3: Cross multiply
    132.39x = 198.41 × 98.37
  4. Step 4: Simplify right side
    132.39x = 19,517.10
  5. Step 5: Solve for x
    x = 19,517.10/132.39
  6. Step 6: Final answer
    x = 147.42

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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.