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Finding the Fourth Proportional to 50.24, 69.31 and 31.78

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Solution

The fourth proportional to 50.24, 69.31 and 31.78 is: 43.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.24 : 69.31 = 31.78 : x
  2. Step 2: Convert to fraction form
    50.24/69.31 = 31.78/x
  3. Step 3: Cross multiply
    50.24x = 69.31 × 31.78
  4. Step 4: Simplify right side
    50.24x = 2,202.51
  5. Step 5: Solve for x
    x = 2,202.51/50.24
  6. Step 6: Final answer
    x = 43.84

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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.