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Finding the Fourth Proportional to 2.08, 3.14 and 2.02

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Solution

The fourth proportional to 2.08, 3.14 and 2.02 is: 3.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.08 : 3.14 = 2.02 : x
  2. Step 2: Convert to fraction form
    2.08/3.14 = 2.02/x
  3. Step 3: Cross multiply
    2.08x = 3.14 × 2.02
  4. Step 4: Simplify right side
    2.08x = 6.34
  5. Step 5: Solve for x
    x = 6.34/2.08
  6. Step 6: Final answer
    x = 3.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.