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Finding the Fourth Proportional to 132.28, 196.97 and 128.84

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Solution

The fourth proportional to 132.28, 196.97 and 128.84 is: 191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.28 : 196.97 = 128.84 : x
  2. Step 2: Convert to fraction form
    132.28/196.97 = 128.84/x
  3. Step 3: Cross multiply
    132.28x = 196.97 × 128.84
  4. Step 4: Simplify right side
    132.28x = 25,377.61
  5. Step 5: Solve for x
    x = 25,377.61/132.28
  6. Step 6: Final answer
    x = 191.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.