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Finding the Fourth Proportional to 12.23, 16.83 and 10.61

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Solution

The fourth proportional to 12.23, 16.83 and 10.61 is: 14.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.23 : 16.83 = 10.61 : x
  2. Step 2: Convert to fraction form
    12.23/16.83 = 10.61/x
  3. Step 3: Cross multiply
    12.23x = 16.83 × 10.61
  4. Step 4: Simplify right side
    12.23x = 178.57
  5. Step 5: Solve for x
    x = 178.57/12.23
  6. Step 6: Final answer
    x = 14.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.