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Finding the Fourth Proportional to 12.10, 18.25 and 11.23

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Solution

The fourth proportional to 12.10, 18.25 and 11.23 is: 16.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.10 : 18.25 = 11.23 : x
  2. Step 2: Convert to fraction form
    12.10/18.25 = 11.23/x
  3. Step 3: Cross multiply
    12.10x = 18.25 × 11.23
  4. Step 4: Simplify right side
    12.10x = 204.95
  5. Step 5: Solve for x
    x = 204.95/12.10
  6. Step 6: Final answer
    x = 16.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.