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Finding the Fourth Proportional to 36.45, 54.71 and 16.17

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Solution

The fourth proportional to 36.45, 54.71 and 16.17 is: 24.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.45 : 54.71 = 16.17 : x
  2. Step 2: Convert to fraction form
    36.45/54.71 = 16.17/x
  3. Step 3: Cross multiply
    36.45x = 54.71 × 16.17
  4. Step 4: Simplify right side
    36.45x = 884.44
  5. Step 5: Solve for x
    x = 884.44/36.45
  6. Step 6: Final answer
    x = 24.26

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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.