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Finding the Fourth Proportional to 11.78, 16.17 and 10.64

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Solution

The fourth proportional to 11.78, 16.17 and 10.64 is: 14.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 16.17 = 10.64 : x
  2. Step 2: Convert to fraction form
    11.78/16.17 = 10.64/x
  3. Step 3: Cross multiply
    11.78x = 16.17 × 10.64
  4. Step 4: Simplify right side
    11.78x = 172.05
  5. Step 5: Solve for x
    x = 172.05/11.78
  6. Step 6: Final answer
    x = 14.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.