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Finding the Fourth Proportional to 50.57, 75.80 and 27.73

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Solution

The fourth proportional to 50.57, 75.80 and 27.73 is: 41.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.57 : 75.80 = 27.73 : x
  2. Step 2: Convert to fraction form
    50.57/75.80 = 27.73/x
  3. Step 3: Cross multiply
    50.57x = 75.80 × 27.73
  4. Step 4: Simplify right side
    50.57x = 2,101.56
  5. Step 5: Solve for x
    x = 2,101.56/50.57
  6. Step 6: Final answer
    x = 41.56

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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.