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Finding the Fourth Proportional to 50.92, 76.15 and 39.35

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Solution

The fourth proportional to 50.92, 76.15 and 39.35 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.92 : 76.15 = 39.35 : x
  2. Step 2: Convert to fraction form
    50.92/76.15 = 39.35/x
  3. Step 3: Cross multiply
    50.92x = 76.15 × 39.35
  4. Step 4: Simplify right side
    50.92x = 2,996.50
  5. Step 5: Solve for x
    x = 2,996.50/50.92
  6. Step 6: Final answer
    x = 58.85

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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.