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Finding the Fourth Proportional to 3.05, 4.14 and 3.03

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Solution

The fourth proportional to 3.05, 4.14 and 3.03 is: 4.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.05 : 4.14 = 3.03 : x
  2. Step 2: Convert to fraction form
    3.05/4.14 = 3.03/x
  3. Step 3: Cross multiply
    3.05x = 4.14 × 3.03
  4. Step 4: Simplify right side
    3.05x = 12.54
  5. Step 5: Solve for x
    x = 12.54/3.05
  6. Step 6: Final answer
    x = 4.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.