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Finding the Fourth Proportional to 50.72, 75.96 and 39.96

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Solution

The fourth proportional to 50.72, 75.96 and 39.96 is: 59.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.72 : 75.96 = 39.96 : x
  2. Step 2: Convert to fraction form
    50.72/75.96 = 39.96/x
  3. Step 3: Cross multiply
    50.72x = 75.96 × 39.96
  4. Step 4: Simplify right side
    50.72x = 3,035.36
  5. Step 5: Solve for x
    x = 3,035.36/50.72
  6. Step 6: Final answer
    x = 59.85

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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.