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Finding the Fourth Proportional to 132.25, 198.38 and 77.41

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Solution

The fourth proportional to 132.25, 198.38 and 77.41 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 198.38 = 77.41 : x
  2. Step 2: Convert to fraction form
    132.25/198.38 = 77.41/x
  3. Step 3: Cross multiply
    132.25x = 198.38 × 77.41
  4. Step 4: Simplify right side
    132.25x = 15,356.60
  5. Step 5: Solve for x
    x = 15,356.60/132.25
  6. Step 6: Final answer
    x = 116.12

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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.