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Finding the Fourth Proportional to 24.50, 33.77 and 22.43

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Solution

The fourth proportional to 24.50, 33.77 and 22.43 is: 30.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 33.77 = 22.43 : x
  2. Step 2: Convert to fraction form
    24.50/33.77 = 22.43/x
  3. Step 3: Cross multiply
    24.50x = 33.77 × 22.43
  4. Step 4: Simplify right side
    24.50x = 757.18
  5. Step 5: Solve for x
    x = 757.18/24.50
  6. Step 6: Final answer
    x = 30.91

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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.