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Finding the Fourth Proportional to 171.22, 236.16 and 109.06

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Solution

The fourth proportional to 171.22, 236.16 and 109.06 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.22 : 236.16 = 109.06 : x
  2. Step 2: Convert to fraction form
    171.22/236.16 = 109.06/x
  3. Step 3: Cross multiply
    171.22x = 236.16 × 109.06
  4. Step 4: Simplify right side
    171.22x = 25,755.61
  5. Step 5: Solve for x
    x = 25,755.61/171.22
  6. Step 6: Final answer
    x = 150.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.