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Finding the Fourth Proportional to 6.09, 9.13 and 2.08

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Solution

The fourth proportional to 6.09, 9.13 and 2.08 is: 3.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.09 : 9.13 = 2.08 : x
  2. Step 2: Convert to fraction form
    6.09/9.13 = 2.08/x
  3. Step 3: Cross multiply
    6.09x = 9.13 × 2.08
  4. Step 4: Simplify right side
    6.09x = 18.96
  5. Step 5: Solve for x
    x = 18.96/6.09
  6. Step 6: Final answer
    x = 3.11

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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.