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Finding the Fourth Proportional to 34.75, 47.94 and 20.20

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Solution

The fourth proportional to 34.75, 47.94 and 20.20 is: 27.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.75 : 47.94 = 20.20 : x
  2. Step 2: Convert to fraction form
    34.75/47.94 = 20.20/x
  3. Step 3: Cross multiply
    34.75x = 47.94 × 20.20
  4. Step 4: Simplify right side
    34.75x = 968.15
  5. Step 5: Solve for x
    x = 968.15/34.75
  6. Step 6: Final answer
    x = 27.86

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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.