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Finding the Fourth Proportional to 24.70, 34.08 and 13.78

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Solution

The fourth proportional to 24.70, 34.08 and 13.78 is: 19.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.70 : 34.08 = 13.78 : x
  2. Step 2: Convert to fraction form
    24.70/34.08 = 13.78/x
  3. Step 3: Cross multiply
    24.70x = 34.08 × 13.78
  4. Step 4: Simplify right side
    24.70x = 469.69
  5. Step 5: Solve for x
    x = 469.69/24.70
  6. Step 6: Final answer
    x = 19.02

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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.