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Finding the Fourth Proportional to 12.15, 18.14 and 9.14

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Solution

The fourth proportional to 12.15, 18.14 and 9.14 is: 13.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.15 : 18.14 = 9.14 : x
  2. Step 2: Convert to fraction form
    12.15/18.14 = 9.14/x
  3. Step 3: Cross multiply
    12.15x = 18.14 × 9.14
  4. Step 4: Simplify right side
    12.15x = 165.66
  5. Step 5: Solve for x
    x = 165.66/12.15
  6. Step 6: Final answer
    x = 13.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.