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Finding the Fourth Proportional to 11.78, 17.64 and 9.09

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Solution

The fourth proportional to 11.78, 17.64 and 9.09 is: 13.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 17.64 = 9.09 : x
  2. Step 2: Convert to fraction form
    11.78/17.64 = 9.09/x
  3. Step 3: Cross multiply
    11.78x = 17.64 × 9.09
  4. Step 4: Simplify right side
    11.78x = 160.35
  5. Step 5: Solve for x
    x = 160.35/11.78
  6. Step 6: Final answer
    x = 13.61

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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.