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Finding the Fourth Proportional to 11.62, 17.40 and 9.08

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Solution

The fourth proportional to 11.62, 17.40 and 9.08 is: 13.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.62 : 17.40 = 9.08 : x
  2. Step 2: Convert to fraction form
    11.62/17.40 = 9.08/x
  3. Step 3: Cross multiply
    11.62x = 17.40 × 9.08
  4. Step 4: Simplify right side
    11.62x = 157.91
  5. Step 5: Solve for x
    x = 157.91/11.62
  6. Step 6: Final answer
    x = 13.59

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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.