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Finding the Fourth Proportional to 24.59, 33.92 and 16.42

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Solution

The fourth proportional to 24.59, 33.92 and 16.42 is: 22.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.59 : 33.92 = 16.42 : x
  2. Step 2: Convert to fraction form
    24.59/33.92 = 16.42/x
  3. Step 3: Cross multiply
    24.59x = 33.92 × 16.42
  4. Step 4: Simplify right side
    24.59x = 556.90
  5. Step 5: Solve for x
    x = 556.90/24.59
  6. Step 6: Final answer
    x = 22.65

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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.