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Finding the Fourth Proportional to 11.76, 16.23 and 9.73

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Solution

The fourth proportional to 11.76, 16.23 and 9.73 is: 13.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.76 : 16.23 = 9.73 : x
  2. Step 2: Convert to fraction form
    11.76/16.23 = 9.73/x
  3. Step 3: Cross multiply
    11.76x = 16.23 × 9.73
  4. Step 4: Simplify right side
    11.76x = 157.92
  5. Step 5: Solve for x
    x = 157.92/11.76
  6. Step 6: Final answer
    x = 13.43

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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.