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Finding the Fourth Proportional to 11.09, 16.64 and 5.75

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Solution

The fourth proportional to 11.09, 16.64 and 5.75 is: 8.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.09 : 16.64 = 5.75 : x
  2. Step 2: Convert to fraction form
    11.09/16.64 = 5.75/x
  3. Step 3: Cross multiply
    11.09x = 16.64 × 5.75
  4. Step 4: Simplify right side
    11.09x = 95.68
  5. Step 5: Solve for x
    x = 95.68/11.09
  6. Step 6: Final answer
    x = 8.63

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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.