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Finding the Fourth Proportional to 12.06, 18.10 and 9.40

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Solution

The fourth proportional to 12.06, 18.10 and 9.40 is: 14.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.06 : 18.10 = 9.40 : x
  2. Step 2: Convert to fraction form
    12.06/18.10 = 9.40/x
  3. Step 3: Cross multiply
    12.06x = 18.10 × 9.40
  4. Step 4: Simplify right side
    12.06x = 170.14
  5. Step 5: Solve for x
    x = 170.14/12.06
  6. Step 6: Final answer
    x = 14.11

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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.