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Finding the Fourth Proportional to 39.39, 54.37 and 38.68

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Solution

The fourth proportional to 39.39, 54.37 and 38.68 is: 53.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.39 : 54.37 = 38.68 : x
  2. Step 2: Convert to fraction form
    39.39/54.37 = 38.68/x
  3. Step 3: Cross multiply
    39.39x = 54.37 × 38.68
  4. Step 4: Simplify right side
    39.39x = 2,102.94
  5. Step 5: Solve for x
    x = 2,102.94/39.39
  6. Step 6: Final answer
    x = 53.39

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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.