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Finding the Fourth Proportional to 39.45, 54.17 and 38.95

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Solution

The fourth proportional to 39.45, 54.17 and 38.95 is: 53.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.45 : 54.17 = 38.95 : x
  2. Step 2: Convert to fraction form
    39.45/54.17 = 38.95/x
  3. Step 3: Cross multiply
    39.45x = 54.17 × 38.95
  4. Step 4: Simplify right side
    39.45x = 2,109.74
  5. Step 5: Solve for x
    x = 2,109.74/39.45
  6. Step 6: Final answer
    x = 53.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.