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Finding the Fourth Proportional to 109.43, 164.15 and 28.27

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Solution

The fourth proportional to 109.43, 164.15 and 28.27 is: 42.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.43 : 164.15 = 28.27 : x
  2. Step 2: Convert to fraction form
    109.43/164.15 = 28.27/x
  3. Step 3: Cross multiply
    109.43x = 164.15 × 28.27
  4. Step 4: Simplify right side
    109.43x = 4,640.52
  5. Step 5: Solve for x
    x = 4,640.52/109.43
  6. Step 6: Final answer
    x = 42.41

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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.