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Finding the Fourth Proportional to 2.65, 3.98 and 2.05

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Solution

The fourth proportional to 2.65, 3.98 and 2.05 is: 3.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.65 : 3.98 = 2.05 : x
  2. Step 2: Convert to fraction form
    2.65/3.98 = 2.05/x
  3. Step 3: Cross multiply
    2.65x = 3.98 × 2.05
  4. Step 4: Simplify right side
    2.65x = 8.14
  5. Step 5: Solve for x
    x = 8.14/2.65
  6. Step 6: Final answer
    x = 3.07

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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.