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Finding the Fourth Proportional to 23.11, 32.04 and 21.94

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Solution

The fourth proportional to 23.11, 32.04 and 21.94 is: 30.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.11 : 32.04 = 21.94 : x
  2. Step 2: Convert to fraction form
    23.11/32.04 = 21.94/x
  3. Step 3: Cross multiply
    23.11x = 32.04 × 21.94
  4. Step 4: Simplify right side
    23.11x = 702.88
  5. Step 5: Solve for x
    x = 702.88/23.11
  6. Step 6: Final answer
    x = 30.41

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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.