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Finding the Fourth Proportional to 24.97, 34.40 and 19.78

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Solution

The fourth proportional to 24.97, 34.40 and 19.78 is: 27.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.97 : 34.40 = 19.78 : x
  2. Step 2: Convert to fraction form
    24.97/34.40 = 19.78/x
  3. Step 3: Cross multiply
    24.97x = 34.40 × 19.78
  4. Step 4: Simplify right side
    24.97x = 680.28
  5. Step 5: Solve for x
    x = 680.28/24.97
  6. Step 6: Final answer
    x = 27.24

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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.