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Finding the Fourth Proportional to 2.68, 3.71 and 2.00

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Solution

The fourth proportional to 2.68, 3.71 and 2.00 is: 2.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.68 : 3.71 = 2.00 : x
  2. Step 2: Convert to fraction form
    2.68/3.71 = 2.00/x
  3. Step 3: Cross multiply
    2.68x = 3.71 × 2.00
  4. Step 4: Simplify right side
    2.68x = 7.42
  5. Step 5: Solve for x
    x = 7.42/2.68
  6. Step 6: Final answer
    x = 2.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.