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Finding the Fourth Proportional to 11.86, 16.34 and 9.42

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Solution

The fourth proportional to 11.86, 16.34 and 9.42 is: 12.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.86 : 16.34 = 9.42 : x
  2. Step 2: Convert to fraction form
    11.86/16.34 = 9.42/x
  3. Step 3: Cross multiply
    11.86x = 16.34 × 9.42
  4. Step 4: Simplify right side
    11.86x = 153.92
  5. Step 5: Solve for x
    x = 153.92/11.86
  6. Step 6: Final answer
    x = 12.98

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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.