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Finding the Fourth Proportional to 49.44, 68.00 and 39.49

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Solution

The fourth proportional to 49.44, 68.00 and 39.49 is: 54.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.44 : 68.00 = 39.49 : x
  2. Step 2: Convert to fraction form
    49.44/68.00 = 39.49/x
  3. Step 3: Cross multiply
    49.44x = 68.00 × 39.49
  4. Step 4: Simplify right side
    49.44x = 2,685.12
  5. Step 5: Solve for x
    x = 2,685.12/49.44
  6. Step 6: Final answer
    x = 54.31

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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.