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Finding the Fourth Proportional to 132.14, 198.02 and 97.92

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Solution

The fourth proportional to 132.14, 198.02 and 97.92 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.14 : 198.02 = 97.92 : x
  2. Step 2: Convert to fraction form
    132.14/198.02 = 97.92/x
  3. Step 3: Cross multiply
    132.14x = 198.02 × 97.92
  4. Step 4: Simplify right side
    132.14x = 19,390.36
  5. Step 5: Solve for x
    x = 19,390.36/132.14
  6. Step 6: Final answer
    x = 146.74

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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.