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Finding the Fourth Proportional to 113.82, 169.85 and 96.78

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Solution

The fourth proportional to 113.82, 169.85 and 96.78 is: 144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 169.85 = 96.78 : x
  2. Step 2: Convert to fraction form
    113.82/169.85 = 96.78/x
  3. Step 3: Cross multiply
    113.82x = 169.85 × 96.78
  4. Step 4: Simplify right side
    113.82x = 16,437.60
  5. Step 5: Solve for x
    x = 16,437.60/113.82
  6. Step 6: Final answer
    x = 144.42

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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.