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Finding the Fourth Proportional to 12, 17.96 and 10.86

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Solution

The fourth proportional to 12, 17.96 and 10.86 is: 16.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12 : 17.96 = 10.86 : x
  2. Step 2: Convert to fraction form
    12/17.96 = 10.86/x
  3. Step 3: Cross multiply
    12x = 17.96 × 10.86
  4. Step 4: Simplify right side
    12x = 195.05
  5. Step 5: Solve for x
    x = 195.05/12
  6. Step 6: Final answer
    x = 16.25

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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.