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Finding the Fourth Proportional to 39.75, 54.83 and 27.49

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Solution

The fourth proportional to 39.75, 54.83 and 27.49 is: 37.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 54.83 = 27.49 : x
  2. Step 2: Convert to fraction form
    39.75/54.83 = 27.49/x
  3. Step 3: Cross multiply
    39.75x = 54.83 × 27.49
  4. Step 4: Simplify right side
    39.75x = 1,507.14
  5. Step 5: Solve for x
    x = 1,507.14/39.75
  6. Step 6: Final answer
    x = 37.92

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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.