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Finding the Fourth Proportional to 47.97, 66.13 and 39.23

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Solution

The fourth proportional to 47.97, 66.13 and 39.23 is: 54.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 66.13 = 39.23 : x
  2. Step 2: Convert to fraction form
    47.97/66.13 = 39.23/x
  3. Step 3: Cross multiply
    47.97x = 66.13 × 39.23
  4. Step 4: Simplify right side
    47.97x = 2,594.28
  5. Step 5: Solve for x
    x = 2,594.28/47.97
  6. Step 6: Final answer
    x = 54.08

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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.