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Finding the Fourth Proportional to 167.55, 231.08 and 109.23

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Solution

The fourth proportional to 167.55, 231.08 and 109.23 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.55 : 231.08 = 109.23 : x
  2. Step 2: Convert to fraction form
    167.55/231.08 = 109.23/x
  3. Step 3: Cross multiply
    167.55x = 231.08 × 109.23
  4. Step 4: Simplify right side
    167.55x = 25,240.32
  5. Step 5: Solve for x
    x = 25,240.32/167.55
  6. Step 6: Final answer
    x = 150.64

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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.