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Finding the Fourth Proportional to 12.09, 16.69 and 6.64

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Solution

The fourth proportional to 12.09, 16.69 and 6.64 is: 9.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 16.69 = 6.64 : x
  2. Step 2: Convert to fraction form
    12.09/16.69 = 6.64/x
  3. Step 3: Cross multiply
    12.09x = 16.69 × 6.64
  4. Step 4: Simplify right side
    12.09x = 110.75
  5. Step 5: Solve for x
    x = 110.75/12.09
  6. Step 6: Final answer
    x = 9.16

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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.