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Finding the Fourth Proportional to 23.49, 35.22 and 8.26

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Solution

The fourth proportional to 23.49, 35.22 and 8.26 is: 12.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.49 : 35.22 = 8.26 : x
  2. Step 2: Convert to fraction form
    23.49/35.22 = 8.26/x
  3. Step 3: Cross multiply
    23.49x = 35.22 × 8.26
  4. Step 4: Simplify right side
    23.49x = 290.92
  5. Step 5: Solve for x
    x = 290.92/23.49
  6. Step 6: Final answer
    x = 12.38

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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.