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Finding the Fourth Proportional to 12.03, 18.12 and 9.80

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Solution

The fourth proportional to 12.03, 18.12 and 9.80 is: 14.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.03 : 18.12 = 9.80 : x
  2. Step 2: Convert to fraction form
    12.03/18.12 = 9.80/x
  3. Step 3: Cross multiply
    12.03x = 18.12 × 9.80
  4. Step 4: Simplify right side
    12.03x = 177.49
  5. Step 5: Solve for x
    x = 177.49/12.03
  6. Step 6: Final answer
    x = 14.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.