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Finding the Fourth Proportional to 50.70, 76.09 and 27.87

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Solution

The fourth proportional to 50.70, 76.09 and 27.87 is: 41.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.70 : 76.09 = 27.87 : x
  2. Step 2: Convert to fraction form
    50.70/76.09 = 27.87/x
  3. Step 3: Cross multiply
    50.70x = 76.09 × 27.87
  4. Step 4: Simplify right side
    50.70x = 2,120.54
  5. Step 5: Solve for x
    x = 2,120.54/50.70
  6. Step 6: Final answer
    x = 41.82

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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.