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Finding the Fourth Proportional to 47.97, 71.61 and 42.84

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Solution

The fourth proportional to 47.97, 71.61 and 42.84 is: 63.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 71.61 = 42.84 : x
  2. Step 2: Convert to fraction form
    47.97/71.61 = 42.84/x
  3. Step 3: Cross multiply
    47.97x = 71.61 × 42.84
  4. Step 4: Simplify right side
    47.97x = 3,067.77
  5. Step 5: Solve for x
    x = 3,067.77/47.97
  6. Step 6: Final answer
    x = 63.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.