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Finding the Fourth Proportional to 31.76, 43.84 and 20.12

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Solution

The fourth proportional to 31.76, 43.84 and 20.12 is: 27.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.76 : 43.84 = 20.12 : x
  2. Step 2: Convert to fraction form
    31.76/43.84 = 20.12/x
  3. Step 3: Cross multiply
    31.76x = 43.84 × 20.12
  4. Step 4: Simplify right side
    31.76x = 882.11
  5. Step 5: Solve for x
    x = 882.11/31.76
  6. Step 6: Final answer
    x = 27.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.