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Finding the Fourth Proportional to 36.19, 54.28 and 12.14

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Solution

The fourth proportional to 36.19, 54.28 and 12.14 is: 18.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.19 : 54.28 = 12.14 : x
  2. Step 2: Convert to fraction form
    36.19/54.28 = 12.14/x
  3. Step 3: Cross multiply
    36.19x = 54.28 × 12.14
  4. Step 4: Simplify right side
    36.19x = 659.11
  5. Step 5: Solve for x
    x = 659.11/36.19
  6. Step 6: Final answer
    x = 18.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.