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Finding the Fourth Proportional to 11.17, 15.42 and 6.86

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Solution

The fourth proportional to 11.17, 15.42 and 6.86 is: 9.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.17 : 15.42 = 6.86 : x
  2. Step 2: Convert to fraction form
    11.17/15.42 = 6.86/x
  3. Step 3: Cross multiply
    11.17x = 15.42 × 6.86
  4. Step 4: Simplify right side
    11.17x = 105.78
  5. Step 5: Solve for x
    x = 105.78/11.17
  6. Step 6: Final answer
    x = 9.47

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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.