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Finding the Fourth Proportional to 114.09, 171.27 and 109.23

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Solution

The fourth proportional to 114.09, 171.27 and 109.23 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 171.27 = 109.23 : x
  2. Step 2: Convert to fraction form
    114.09/171.27 = 109.23/x
  3. Step 3: Cross multiply
    114.09x = 171.27 × 109.23
  4. Step 4: Simplify right side
    114.09x = 18,707.82
  5. Step 5: Solve for x
    x = 18,707.82/114.09
  6. Step 6: Final answer
    x = 163.97

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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.