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Finding the Fourth Proportional to 39.50, 54.42 and 29.78

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Solution

The fourth proportional to 39.50, 54.42 and 29.78 is: 41.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.50 : 54.42 = 29.78 : x
  2. Step 2: Convert to fraction form
    39.50/54.42 = 29.78/x
  3. Step 3: Cross multiply
    39.50x = 54.42 × 29.78
  4. Step 4: Simplify right side
    39.50x = 1,620.63
  5. Step 5: Solve for x
    x = 1,620.63/39.50
  6. Step 6: Final answer
    x = 41.03

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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.