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Finding the Fourth Proportional to 24.50, 33.78 and 20.78

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Solution

The fourth proportional to 24.50, 33.78 and 20.78 is: 28.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 33.78 = 20.78 : x
  2. Step 2: Convert to fraction form
    24.50/33.78 = 20.78/x
  3. Step 3: Cross multiply
    24.50x = 33.78 × 20.78
  4. Step 4: Simplify right side
    24.50x = 701.95
  5. Step 5: Solve for x
    x = 701.95/24.50
  6. Step 6: Final answer
    x = 28.65

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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.