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Finding the Fourth Proportional to 132.16, 198.32 and 80.84

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Solution

The fourth proportional to 132.16, 198.32 and 80.84 is: 121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 198.32 = 80.84 : x
  2. Step 2: Convert to fraction form
    132.16/198.32 = 80.84/x
  3. Step 3: Cross multiply
    132.16x = 198.32 × 80.84
  4. Step 4: Simplify right side
    132.16x = 16,032.19
  5. Step 5: Solve for x
    x = 16,032.19/132.16
  6. Step 6: Final answer
    x = 121.31

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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.