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Finding the Fourth Proportional to 132.61, 197.96 and 123.11

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Solution

The fourth proportional to 132.61, 197.96 and 123.11 is: 183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.61 : 197.96 = 123.11 : x
  2. Step 2: Convert to fraction form
    132.61/197.96 = 123.11/x
  3. Step 3: Cross multiply
    132.61x = 197.96 × 123.11
  4. Step 4: Simplify right side
    132.61x = 24,370.86
  5. Step 5: Solve for x
    x = 24,370.86/132.61
  6. Step 6: Final answer
    x = 183.78

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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.