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Finding the Fourth Proportional to 50.31, 69.42 and 31.88

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Solution

The fourth proportional to 50.31, 69.42 and 31.88 is: 43.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.31 : 69.42 = 31.88 : x
  2. Step 2: Convert to fraction form
    50.31/69.42 = 31.88/x
  3. Step 3: Cross multiply
    50.31x = 69.42 × 31.88
  4. Step 4: Simplify right side
    50.31x = 2,213.11
  5. Step 5: Solve for x
    x = 2,213.11/50.31
  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.