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Finding the Fourth Proportional to 50.85, 76.28 and 20.41

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Solution

The fourth proportional to 50.85, 76.28 and 20.41 is: 30.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.85 : 76.28 = 20.41 : x
  2. Step 2: Convert to fraction form
    50.85/76.28 = 20.41/x
  3. Step 3: Cross multiply
    50.85x = 76.28 × 20.41
  4. Step 4: Simplify right side
    50.85x = 1,556.58
  5. Step 5: Solve for x
    x = 1,556.58/50.85
  6. Step 6: Final answer
    x = 30.61

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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.