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Finding the Fourth Proportional to 50.21, 69.24 and 31.79

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Solution

The fourth proportional to 50.21, 69.24 and 31.79 is: 43.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.21 : 69.24 = 31.79 : x
  2. Step 2: Convert to fraction form
    50.21/69.24 = 31.79/x
  3. Step 3: Cross multiply
    50.21x = 69.24 × 31.79
  4. Step 4: Simplify right side
    50.21x = 2,201.43
  5. Step 5: Solve for x
    x = 2,201.43/50.21
  6. Step 6: Final answer
    x = 43.85

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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.