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Finding the Fourth Proportional to 39.85, 54.96 and 27.57

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Solution

The fourth proportional to 39.85, 54.96 and 27.57 is: 38.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.85 : 54.96 = 27.57 : x
  2. Step 2: Convert to fraction form
    39.85/54.96 = 27.57/x
  3. Step 3: Cross multiply
    39.85x = 54.96 × 27.57
  4. Step 4: Simplify right side
    39.85x = 1,515.25
  5. Step 5: Solve for x
    x = 1,515.25/39.85
  6. Step 6: Final answer
    x = 38.02

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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.