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Finding the Fourth Proportional to 132.32, 198.22 and 109.40

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Solution

The fourth proportional to 132.32, 198.22 and 109.40 is: 163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 198.22 = 109.40 : x
  2. Step 2: Convert to fraction form
    132.32/198.22 = 109.40/x
  3. Step 3: Cross multiply
    132.32x = 198.22 × 109.40
  4. Step 4: Simplify right side
    132.32x = 21,685.27
  5. Step 5: Solve for x
    x = 21,685.27/132.32
  6. Step 6: Final answer
    x = 163.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.