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Finding the Fourth Proportional to 23.82, 33.01 and 22.98

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Solution

The fourth proportional to 23.82, 33.01 and 22.98 is: 31.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.82 : 33.01 = 22.98 : x
  2. Step 2: Convert to fraction form
    23.82/33.01 = 22.98/x
  3. Step 3: Cross multiply
    23.82x = 33.01 × 22.98
  4. Step 4: Simplify right side
    23.82x = 758.57
  5. Step 5: Solve for x
    x = 758.57/23.82
  6. Step 6: Final answer
    x = 31.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.