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Finding the Fourth Proportional to 3.37, 5.05 and 2.03

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Solution

The fourth proportional to 3.37, 5.05 and 2.03 is: 3.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.37 : 5.05 = 2.03 : x
  2. Step 2: Convert to fraction form
    3.37/5.05 = 2.03/x
  3. Step 3: Cross multiply
    3.37x = 5.05 × 2.03
  4. Step 4: Simplify right side
    3.37x = 10.25
  5. Step 5: Solve for x
    x = 10.25/3.37
  6. Step 6: Final answer
    x = 3.04

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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.