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Finding the Fourth Proportional to 159.60, 239.29 and 49.87

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Solution

The fourth proportional to 159.60, 239.29 and 49.87 is: 74.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 239.29 = 49.87 : x
  2. Step 2: Convert to fraction form
    159.60/239.29 = 49.87/x
  3. Step 3: Cross multiply
    159.60x = 239.29 × 49.87
  4. Step 4: Simplify right side
    159.60x = 11,934.76
  5. Step 5: Solve for x
    x = 11,934.76/159.60
  6. Step 6: Final answer
    x = 74.78

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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.