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Finding the Fourth Proportional to 24.75, 33.93 and 22.92

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Solution

The fourth proportional to 24.75, 33.93 and 22.92 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 33.93 = 22.92 : x
  2. Step 2: Convert to fraction form
    24.75/33.93 = 22.92/x
  3. Step 3: Cross multiply
    24.75x = 33.93 × 22.92
  4. Step 4: Simplify right side
    24.75x = 777.68
  5. Step 5: Solve for x
    x = 777.68/24.75
  6. Step 6: Final answer
    x = 31.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.