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Finding the Fourth Proportional to 113.42, 169.78 and 80.82

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Solution

The fourth proportional to 113.42, 169.78 and 80.82 is: 120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.42 : 169.78 = 80.82 : x
  2. Step 2: Convert to fraction form
    113.42/169.78 = 80.82/x
  3. Step 3: Cross multiply
    113.42x = 169.78 × 80.82
  4. Step 4: Simplify right side
    113.42x = 13,721.93
  5. Step 5: Solve for x
    x = 13,721.93/113.42
  6. Step 6: Final answer
    x = 120.98

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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.