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Finding the Fourth Proportional to 39.44, 54.46 and 29.78

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Solution

The fourth proportional to 39.44, 54.46 and 29.78 is: 41.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.44 : 54.46 = 29.78 : x
  2. Step 2: Convert to fraction form
    39.44/54.46 = 29.78/x
  3. Step 3: Cross multiply
    39.44x = 54.46 × 29.78
  4. Step 4: Simplify right side
    39.44x = 1,621.82
  5. Step 5: Solve for x
    x = 1,621.82/39.44
  6. Step 6: Final answer
    x = 41.12

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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.