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Finding the Fourth Proportional to 24.69, 33.96 and 21.96

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Solution

The fourth proportional to 24.69, 33.96 and 21.96 is: 30.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.69 : 33.96 = 21.96 : x
  2. Step 2: Convert to fraction form
    24.69/33.96 = 21.96/x
  3. Step 3: Cross multiply
    24.69x = 33.96 × 21.96
  4. Step 4: Simplify right side
    24.69x = 745.76
  5. Step 5: Solve for x
    x = 745.76/24.69
  6. Step 6: Final answer
    x = 30.21

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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.