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Finding the Fourth Proportional to 11.92, 16.42 and 9.74

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Solution

The fourth proportional to 11.92, 16.42 and 9.74 is: 13.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.92 : 16.42 = 9.74 : x
  2. Step 2: Convert to fraction form
    11.92/16.42 = 9.74/x
  3. Step 3: Cross multiply
    11.92x = 16.42 × 9.74
  4. Step 4: Simplify right side
    11.92x = 159.93
  5. Step 5: Solve for x
    x = 159.93/11.92
  6. Step 6: Final answer
    x = 13.42

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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.