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Finding the Fourth Proportional to 6.09, 9.14 and 4.08

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Solution

The fourth proportional to 6.09, 9.14 and 4.08 is: 6.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.09 : 9.14 = 4.08 : x
  2. Step 2: Convert to fraction form
    6.09/9.14 = 4.08/x
  3. Step 3: Cross multiply
    6.09x = 9.14 × 4.08
  4. Step 4: Simplify right side
    6.09x = 37.31
  5. Step 5: Solve for x
    x = 37.31/6.09
  6. Step 6: Final answer
    x = 6.13

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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.