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Finding the Fourth Proportional to 2.69, 4.05 and 2.03

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Solution

The fourth proportional to 2.69, 4.05 and 2.03 is: 3.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.69 : 4.05 = 2.03 : x
  2. Step 2: Convert to fraction form
    2.69/4.05 = 2.03/x
  3. Step 3: Cross multiply
    2.69x = 4.05 × 2.03
  4. Step 4: Simplify right side
    2.69x = 8.19
  5. Step 5: Solve for x
    x = 8.19/2.69
  6. Step 6: Final answer
    x = 3.05

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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.