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Finding the Fourth Proportional to 23.96, 35.86 and 22.49

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Solution

The fourth proportional to 23.96, 35.86 and 22.49 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.96 : 35.86 = 22.49 : x
  2. Step 2: Convert to fraction form
    23.96/35.86 = 22.49/x
  3. Step 3: Cross multiply
    23.96x = 35.86 × 22.49
  4. Step 4: Simplify right side
    23.96x = 806.38
  5. Step 5: Solve for x
    x = 806.38/23.96
  6. Step 6: Final answer
    x = 33.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.