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Finding the Fourth Proportional to 4.05, 6.08 and 2.05

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Solution

The fourth proportional to 4.05, 6.08 and 2.05 is: 3.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.05 : 6.08 = 2.05 : x
  2. Step 2: Convert to fraction form
    4.05/6.08 = 2.05/x
  3. Step 3: Cross multiply
    4.05x = 6.08 × 2.05
  4. Step 4: Simplify right side
    4.05x = 12.43
  5. Step 5: Solve for x
    x = 12.43/4.05
  6. Step 6: Final answer
    x = 3.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.