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Finding the Fourth Proportional to 132.31, 198.10 and 97.93

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Solution

The fourth proportional to 132.31, 198.10 and 97.93 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 198.10 = 97.93 : x
  2. Step 2: Convert to fraction form
    132.31/198.10 = 97.93/x
  3. Step 3: Cross multiply
    132.31x = 198.10 × 97.93
  4. Step 4: Simplify right side
    132.31x = 19,399.93
  5. Step 5: Solve for x
    x = 19,399.93/132.31
  6. Step 6: Final answer
    x = 146.62

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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.