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Finding the Fourth Proportional to 159.92, 239.84 and 55.79

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Solution

The fourth proportional to 159.92, 239.84 and 55.79 is: 83.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 239.84 = 55.79 : x
  2. Step 2: Convert to fraction form
    159.92/239.84 = 55.79/x
  3. Step 3: Cross multiply
    159.92x = 239.84 × 55.79
  4. Step 4: Simplify right side
    159.92x = 13,380.62
  5. Step 5: Solve for x
    x = 13,380.62/159.92
  6. Step 6: Final answer
    x = 83.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.