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Finding the Fourth Proportional to 11.92, 17.90 and 7.92

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Solution

The fourth proportional to 11.92, 17.90 and 7.92 is: 11.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.92 : 17.90 = 7.92 : x
  2. Step 2: Convert to fraction form
    11.92/17.90 = 7.92/x
  3. Step 3: Cross multiply
    11.92x = 17.90 × 7.92
  4. Step 4: Simplify right side
    11.92x = 141.77
  5. Step 5: Solve for x
    x = 141.77/11.92
  6. Step 6: Final answer
    x = 11.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.