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Finding the Fourth Proportional to 34.68, 47.84 and 27.75

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Solution

The fourth proportional to 34.68, 47.84 and 27.75 is: 38.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.68 : 47.84 = 27.75 : x
  2. Step 2: Convert to fraction form
    34.68/47.84 = 27.75/x
  3. Step 3: Cross multiply
    34.68x = 47.84 × 27.75
  4. Step 4: Simplify right side
    34.68x = 1,327.56
  5. Step 5: Solve for x
    x = 1,327.56/34.68
  6. Step 6: Final answer
    x = 38.28

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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.