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Finding the Fourth Proportional to 3.41, 5.12 and 3.02

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Solution

The fourth proportional to 3.41, 5.12 and 3.02 is: 4.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.41 : 5.12 = 3.02 : x
  2. Step 2: Convert to fraction form
    3.41/5.12 = 3.02/x
  3. Step 3: Cross multiply
    3.41x = 5.12 × 3.02
  4. Step 4: Simplify right side
    3.41x = 15.43
  5. Step 5: Solve for x
    x = 15.43/3.41
  6. Step 6: Final answer
    x = 4.53

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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.