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Finding the Fourth Proportional to 23.82, 33.02 and 23.27

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Solution

The fourth proportional to 23.82, 33.02 and 23.27 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.82 : 33.02 = 23.27 : x
  2. Step 2: Convert to fraction form
    23.82/33.02 = 23.27/x
  3. Step 3: Cross multiply
    23.82x = 33.02 × 23.27
  4. Step 4: Simplify right side
    23.82x = 768.09
  5. Step 5: Solve for x
    x = 768.09/23.82
  6. Step 6: Final answer
    x = 32.25

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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.