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Finding the Fourth Proportional to 2.12, 3.16 and 2.08

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Solution

The fourth proportional to 2.12, 3.16 and 2.08 is: 3.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.12 : 3.16 = 2.08 : x
  2. Step 2: Convert to fraction form
    2.12/3.16 = 2.08/x
  3. Step 3: Cross multiply
    2.12x = 3.16 × 2.08
  4. Step 4: Simplify right side
    2.12x = 6.55
  5. Step 5: Solve for x
    x = 6.55/2.12
  6. Step 6: Final answer
    x = 3.10

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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.