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Finding the Fourth Proportional to 24.52, 33.80 and 20.20

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Solution

The fourth proportional to 24.52, 33.80 and 20.20 is: 27.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.52 : 33.80 = 20.20 : x
  2. Step 2: Convert to fraction form
    24.52/33.80 = 20.20/x
  3. Step 3: Cross multiply
    24.52x = 33.80 × 20.20
  4. Step 4: Simplify right side
    24.52x = 682.76
  5. Step 5: Solve for x
    x = 682.76/24.52
  6. Step 6: Final answer
    x = 27.85

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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.