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Finding the Fourth Proportional to 159.87, 239.82 and 51.69

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Solution

The fourth proportional to 159.87, 239.82 and 51.69 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.87 : 239.82 = 51.69 : x
  2. Step 2: Convert to fraction form
    159.87/239.82 = 51.69/x
  3. Step 3: Cross multiply
    159.87x = 239.82 × 51.69
  4. Step 4: Simplify right side
    159.87x = 12,396.30
  5. Step 5: Solve for x
    x = 12,396.30/159.87
  6. Step 6: Final answer
    x = 77.54

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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.