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Finding the Fourth Proportional to 3.05, 4.56 and 2.05

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Solution

The fourth proportional to 3.05, 4.56 and 2.05 is: 3.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.05 : 4.56 = 2.05 : x
  2. Step 2: Convert to fraction form
    3.05/4.56 = 2.05/x
  3. Step 3: Cross multiply
    3.05x = 4.56 × 2.05
  4. Step 4: Simplify right side
    3.05x = 9.33
  5. Step 5: Solve for x
    x = 9.33/3.05
  6. Step 6: Final answer
    x = 3.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.