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Finding the Fourth Proportional to 24.97, 34.44 and 17.69

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Solution

The fourth proportional to 24.97, 34.44 and 17.69 is: 24.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.97 : 34.44 = 17.69 : x
  2. Step 2: Convert to fraction form
    24.97/34.44 = 17.69/x
  3. Step 3: Cross multiply
    24.97x = 34.44 × 17.69
  4. Step 4: Simplify right side
    24.97x = 609.24
  5. Step 5: Solve for x
    x = 609.24/24.97
  6. Step 6: Final answer
    x = 24.40

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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.