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Finding the Fourth Proportional to 6.06, 9.09 and 2.05

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Solution

The fourth proportional to 6.06, 9.09 and 2.05 is: 3.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.06 : 9.09 = 2.05 : x
  2. Step 2: Convert to fraction form
    6.06/9.09 = 2.05/x
  3. Step 3: Cross multiply
    6.06x = 9.09 × 2.05
  4. Step 4: Simplify right side
    6.06x = 18.58
  5. Step 5: Solve for x
    x = 18.58/6.06
  6. Step 6: Final answer
    x = 3.07

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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.