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Finding the Fourth Proportional to 4.06, 6.09 and 2.05

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Solution

The fourth proportional to 4.06, 6.09 and 2.05 is: 3.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.06 : 6.09 = 2.05 : x
  2. Step 2: Convert to fraction form
    4.06/6.09 = 2.05/x
  3. Step 3: Cross multiply
    4.06x = 6.09 × 2.05
  4. Step 4: Simplify right side
    4.06x = 12.48
  5. Step 5: Solve for x
    x = 12.48/4.06
  6. Step 6: Final answer
    x = 3.08

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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.