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Finding the Fourth Proportional to 2.01, 3.02 and 1.68

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Solution

The fourth proportional to 2.01, 3.02 and 1.68 is: 2.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 3.02 = 1.68 : x
  2. Step 2: Convert to fraction form
    2.01/3.02 = 1.68/x
  3. Step 3: Cross multiply
    2.01x = 3.02 × 1.68
  4. Step 4: Simplify right side
    2.01x = 5.07
  5. Step 5: Solve for x
    x = 5.07/2.01
  6. Step 6: Final answer
    x = 2.52

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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.