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Finding the Fourth Proportional to 11.64, 16.09 and 8.19

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Solution

The fourth proportional to 11.64, 16.09 and 8.19 is: 11.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 16.09 = 8.19 : x
  2. Step 2: Convert to fraction form
    11.64/16.09 = 8.19/x
  3. Step 3: Cross multiply
    11.64x = 16.09 × 8.19
  4. Step 4: Simplify right side
    11.64x = 131.76
  5. Step 5: Solve for x
    x = 131.76/11.64
  6. Step 6: Final answer
    x = 11.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.