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Finding the Fourth Proportional to 15, 22.49 and 8.23

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Solution

The fourth proportional to 15, 22.49 and 8.23 is: 12.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15 : 22.49 = 8.23 : x
  2. Step 2: Convert to fraction form
    15/22.49 = 8.23/x
  3. Step 3: Cross multiply
    15x = 22.49 × 8.23
  4. Step 4: Simplify right side
    15x = 185.09
  5. Step 5: Solve for x
    x = 185.09/15
  6. Step 6: Final answer
    x = 12.34

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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.