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Finding the Fourth Proportional to 24.81, 34.24 and 14.45

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Solution

The fourth proportional to 24.81, 34.24 and 14.45 is: 19.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.81 : 34.24 = 14.45 : x
  2. Step 2: Convert to fraction form
    24.81/34.24 = 14.45/x
  3. Step 3: Cross multiply
    24.81x = 34.24 × 14.45
  4. Step 4: Simplify right side
    24.81x = 494.70
  5. Step 5: Solve for x
    x = 494.70/24.81
  6. Step 6: Final answer
    x = 19.94

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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.