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Finding the Fourth Proportional to 50.27, 69.41 and 31.86

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Solution

The fourth proportional to 50.27, 69.41 and 31.86 is: 43.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.27 : 69.41 = 31.86 : x
  2. Step 2: Convert to fraction form
    50.27/69.41 = 31.86/x
  3. Step 3: Cross multiply
    50.27x = 69.41 × 31.86
  4. Step 4: Simplify right side
    50.27x = 2,211.40
  5. Step 5: Solve for x
    x = 2,211.40/50.27
  6. Step 6: Final answer
    x = 43.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.