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Finding the Fourth Proportional to 12.02, 18.06 and 9.50

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Solution

The fourth proportional to 12.02, 18.06 and 9.50 is: 14.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.02 : 18.06 = 9.50 : x
  2. Step 2: Convert to fraction form
    12.02/18.06 = 9.50/x
  3. Step 3: Cross multiply
    12.02x = 18.06 × 9.50
  4. Step 4: Simplify right side
    12.02x = 171.57
  5. Step 5: Solve for x
    x = 171.57/12.02
  6. Step 6: Final answer
    x = 14.27

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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.