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Finding the Fourth Proportional to 167.90, 231.71 and 109.71

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Solution

The fourth proportional to 167.90, 231.71 and 109.71 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.90 : 231.71 = 109.71 : x
  2. Step 2: Convert to fraction form
    167.90/231.71 = 109.71/x
  3. Step 3: Cross multiply
    167.90x = 231.71 × 109.71
  4. Step 4: Simplify right side
    167.90x = 25,420.36
  5. Step 5: Solve for x
    x = 25,420.36/167.90
  6. Step 6: Final answer
    x = 151.41

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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.