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Finding the Fourth Proportional to 4.09, 6.14 and 4.06

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Solution

The fourth proportional to 4.09, 6.14 and 4.06 is: 6.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.09 : 6.14 = 4.06 : x
  2. Step 2: Convert to fraction form
    4.09/6.14 = 4.06/x
  3. Step 3: Cross multiply
    4.09x = 6.14 × 4.06
  4. Step 4: Simplify right side
    4.09x = 24.91
  5. Step 5: Solve for x
    x = 24.91/4.09
  6. Step 6: Final answer
    x = 6.09

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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.