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Finding the Fourth Proportional to 24.71, 34.09 and 16.51

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Solution

The fourth proportional to 24.71, 34.09 and 16.51 is: 22.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.71 : 34.09 = 16.51 : x
  2. Step 2: Convert to fraction form
    24.71/34.09 = 16.51/x
  3. Step 3: Cross multiply
    24.71x = 34.09 × 16.51
  4. Step 4: Simplify right side
    24.71x = 562.83
  5. Step 5: Solve for x
    x = 562.83/24.71
  6. Step 6: Final answer
    x = 22.78

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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.