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Finding the Fourth Proportional to 132.25, 198.22 and 101.71

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Solution

The fourth proportional to 132.25, 198.22 and 101.71 is: 152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 198.22 = 101.71 : x
  2. Step 2: Convert to fraction form
    132.25/198.22 = 101.71/x
  3. Step 3: Cross multiply
    132.25x = 198.22 × 101.71
  4. Step 4: Simplify right side
    132.25x = 20,160.96
  5. Step 5: Solve for x
    x = 20,160.96/132.25
  6. Step 6: Final answer
    x = 152.45

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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.