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Finding the Fourth Proportional to 159.94, 240.17 and 113.85

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Solution

The fourth proportional to 159.94, 240.17 and 113.85 is: 170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.94 : 240.17 = 113.85 : x
  2. Step 2: Convert to fraction form
    159.94/240.17 = 113.85/x
  3. Step 3: Cross multiply
    159.94x = 240.17 × 113.85
  4. Step 4: Simplify right side
    159.94x = 27,343.35
  5. Step 5: Solve for x
    x = 27,343.35/159.94
  6. Step 6: Final answer
    x = 170.96

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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.