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Finding the Fourth Proportional to 12.25, 18.34 and 10.63

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Solution

The fourth proportional to 12.25, 18.34 and 10.63 is: 15.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.25 : 18.34 = 10.63 : x
  2. Step 2: Convert to fraction form
    12.25/18.34 = 10.63/x
  3. Step 3: Cross multiply
    12.25x = 18.34 × 10.63
  4. Step 4: Simplify right side
    12.25x = 194.95
  5. Step 5: Solve for x
    x = 194.95/12.25
  6. Step 6: Final answer
    x = 15.91

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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.