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Finding the Fourth Proportional to 39.35, 54.31 and 27.06

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Solution

The fourth proportional to 39.35, 54.31 and 27.06 is: 37.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.35 : 54.31 = 27.06 : x
  2. Step 2: Convert to fraction form
    39.35/54.31 = 27.06/x
  3. Step 3: Cross multiply
    39.35x = 54.31 × 27.06
  4. Step 4: Simplify right side
    39.35x = 1,469.87
  5. Step 5: Solve for x
    x = 1,469.87/39.35
  6. Step 6: Final answer
    x = 37.35

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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.