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Finding the Fourth Proportional to 4.08, 6.12 and 1.41

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Solution

The fourth proportional to 4.08, 6.12 and 1.41 is: 2.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.08 : 6.12 = 1.41 : x
  2. Step 2: Convert to fraction form
    4.08/6.12 = 1.41/x
  3. Step 3: Cross multiply
    4.08x = 6.12 × 1.41
  4. Step 4: Simplify right side
    4.08x = 8.61
  5. Step 5: Solve for x
    x = 8.61/4.08
  6. Step 6: Final answer
    x = 2.11

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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.