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Finding the Fourth Proportional to 39.75, 54.82 and 34.57

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Solution

The fourth proportional to 39.75, 54.82 and 34.57 is: 47.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 54.82 = 34.57 : x
  2. Step 2: Convert to fraction form
    39.75/54.82 = 34.57/x
  3. Step 3: Cross multiply
    39.75x = 54.82 × 34.57
  4. Step 4: Simplify right side
    39.75x = 1,895.13
  5. Step 5: Solve for x
    x = 1,895.13/39.75
  6. Step 6: Final answer
    x = 47.68

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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.