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Finding the Fourth Proportional to 132.99, 198.57 and 112.71

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Solution

The fourth proportional to 132.99, 198.57 and 112.71 is: 168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.99 : 198.57 = 112.71 : x
  2. Step 2: Convert to fraction form
    132.99/198.57 = 112.71/x
  3. Step 3: Cross multiply
    132.99x = 198.57 × 112.71
  4. Step 4: Simplify right side
    132.99x = 22,380.82
  5. Step 5: Solve for x
    x = 22,380.82/132.99
  6. Step 6: Final answer
    x = 168.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.