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Finding the Fourth Proportional to 12.23, 16.78 and 11.58

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Solution

The fourth proportional to 12.23, 16.78 and 11.58 is: 15.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.23 : 16.78 = 11.58 : x
  2. Step 2: Convert to fraction form
    12.23/16.78 = 11.58/x
  3. Step 3: Cross multiply
    12.23x = 16.78 × 11.58
  4. Step 4: Simplify right side
    12.23x = 194.28
  5. Step 5: Solve for x
    x = 194.28/12.23
  6. Step 6: Final answer
    x = 15.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.