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Finding the Fourth Proportional to 167.60, 231.45 and 109.55

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Solution

The fourth proportional to 167.60, 231.45 and 109.55 is: 151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.60 : 231.45 = 109.55 : x
  2. Step 2: Convert to fraction form
    167.60/231.45 = 109.55/x
  3. Step 3: Cross multiply
    167.60x = 231.45 × 109.55
  4. Step 4: Simplify right side
    167.60x = 25,355.35
  5. Step 5: Solve for x
    x = 25,355.35/167.60
  6. Step 6: Final answer
    x = 151.28

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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.