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Finding the Fourth Proportional to 12.09, 18.10 and 6.37

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Solution

The fourth proportional to 12.09, 18.10 and 6.37 is: 9.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 18.10 = 6.37 : x
  2. Step 2: Convert to fraction form
    12.09/18.10 = 6.37/x
  3. Step 3: Cross multiply
    12.09x = 18.10 × 6.37
  4. Step 4: Simplify right side
    12.09x = 115.30
  5. Step 5: Solve for x
    x = 115.30/12.09
  6. Step 6: Final answer
    x = 9.54

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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.