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Finding the Fourth Proportional to 159.21, 239.01 and 113.85

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Solution

The fourth proportional to 159.21, 239.01 and 113.85 is: 170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.21 : 239.01 = 113.85 : x
  2. Step 2: Convert to fraction form
    159.21/239.01 = 113.85/x
  3. Step 3: Cross multiply
    159.21x = 239.01 × 113.85
  4. Step 4: Simplify right side
    159.21x = 27,211.29
  5. Step 5: Solve for x
    x = 27,211.29/159.21
  6. Step 6: Final answer
    x = 170.91

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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.