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Finding the Fourth Proportional to 132.27, 197.94 and 101.66

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Solution

The fourth proportional to 132.27, 197.94 and 101.66 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.27 : 197.94 = 101.66 : x
  2. Step 2: Convert to fraction form
    132.27/197.94 = 101.66/x
  3. Step 3: Cross multiply
    132.27x = 197.94 × 101.66
  4. Step 4: Simplify right side
    132.27x = 20,121.97
  5. Step 5: Solve for x
    x = 20,121.97/132.27
  6. Step 6: Final answer
    x = 152.13

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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.