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Finding the Fourth Proportional to 11.64, 17.42 and 8.59

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Solution

The fourth proportional to 11.64, 17.42 and 8.59 is: 12.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 17.42 = 8.59 : x
  2. Step 2: Convert to fraction form
    11.64/17.42 = 8.59/x
  3. Step 3: Cross multiply
    11.64x = 17.42 × 8.59
  4. Step 4: Simplify right side
    11.64x = 149.62
  5. Step 5: Solve for x
    x = 149.62/11.64
  6. Step 6: Final answer
    x = 12.85

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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.