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Finding the Fourth Proportional to 24.89, 34.10 and 24.65

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Solution

The fourth proportional to 24.89, 34.10 and 24.65 is: 33.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.89 : 34.10 = 24.65 : x
  2. Step 2: Convert to fraction form
    24.89/34.10 = 24.65/x
  3. Step 3: Cross multiply
    24.89x = 34.10 × 24.65
  4. Step 4: Simplify right side
    24.89x = 840.49
  5. Step 5: Solve for x
    x = 840.49/24.89
  6. Step 6: Final answer
    x = 33.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.