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Finding the Fourth Proportional to 4.02, 6.01 and 3.44

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Solution

The fourth proportional to 4.02, 6.01 and 3.44 is: 5.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 6.01 = 3.44 : x
  2. Step 2: Convert to fraction form
    4.02/6.01 = 3.44/x
  3. Step 3: Cross multiply
    4.02x = 6.01 × 3.44
  4. Step 4: Simplify right side
    4.02x = 20.67
  5. Step 5: Solve for x
    x = 20.67/4.02
  6. Step 6: Final answer
    x = 5.14

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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.