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Finding the Fourth Proportional to 132.90, 198.19 and 127.09

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Solution

The fourth proportional to 132.90, 198.19 and 127.09 is: 189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.90 : 198.19 = 127.09 : x
  2. Step 2: Convert to fraction form
    132.90/198.19 = 127.09/x
  3. Step 3: Cross multiply
    132.90x = 198.19 × 127.09
  4. Step 4: Simplify right side
    132.90x = 25,187.97
  5. Step 5: Solve for x
    x = 25,187.97/132.90
  6. Step 6: Final answer
    x = 189.53

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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.