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Finding the Fourth Proportional to 132.97, 198.11 and 127.18

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Solution

The fourth proportional to 132.97, 198.11 and 127.18 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.97 : 198.11 = 127.18 : x
  2. Step 2: Convert to fraction form
    132.97/198.11 = 127.18/x
  3. Step 3: Cross multiply
    132.97x = 198.11 × 127.18
  4. Step 4: Simplify right side
    132.97x = 25,195.63
  5. Step 5: Solve for x
    x = 25,195.63/132.97
  6. Step 6: Final answer
    x = 189.48

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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.