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Finding the Fourth Proportional to 131.96, 198.12 and 111.80

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Solution

The fourth proportional to 131.96, 198.12 and 111.80 is: 167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.96 : 198.12 = 111.80 : x
  2. Step 2: Convert to fraction form
    131.96/198.12 = 111.80/x
  3. Step 3: Cross multiply
    131.96x = 198.12 × 111.80
  4. Step 4: Simplify right side
    131.96x = 22,149.82
  5. Step 5: Solve for x
    x = 22,149.82/131.96
  6. Step 6: Final answer
    x = 167.85

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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.