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Finding the Fourth Proportional to 2.01, 3.01 and 0.67

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Solution

The fourth proportional to 2.01, 3.01 and 0.67 is: 1.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 3.01 = 0.67 : x
  2. Step 2: Convert to fraction form
    2.01/3.01 = 0.67/x
  3. Step 3: Cross multiply
    2.01x = 3.01 × 0.67
  4. Step 4: Simplify right side
    2.01x = 2.03
  5. Step 5: Solve for x
    x = 2.03/2.01
  6. Step 6: Final answer
    x = 1.01

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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.