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Finding the Fourth Proportional to 50.46, 75.72 and 31.24

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Solution

The fourth proportional to 50.46, 75.72 and 31.24 is: 46.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 75.72 = 31.24 : x
  2. Step 2: Convert to fraction form
    50.46/75.72 = 31.24/x
  3. Step 3: Cross multiply
    50.46x = 75.72 × 31.24
  4. Step 4: Simplify right side
    50.46x = 2,365.49
  5. Step 5: Solve for x
    x = 2,365.49/50.46
  6. Step 6: Final answer
    x = 46.88

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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.