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Finding the Fourth Proportional to 132.54, 198.97 and 102.12

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Solution

The fourth proportional to 132.54, 198.97 and 102.12 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.54 : 198.97 = 102.12 : x
  2. Step 2: Convert to fraction form
    132.54/198.97 = 102.12/x
  3. Step 3: Cross multiply
    132.54x = 198.97 × 102.12
  4. Step 4: Simplify right side
    132.54x = 20,318.82
  5. Step 5: Solve for x
    x = 20,318.82/132.54
  6. Step 6: Final answer
    x = 153.31

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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.