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Finding the Fourth Proportional to 167.60, 251.58 and 86.42

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Solution

The fourth proportional to 167.60, 251.58 and 86.42 is: 129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.60 : 251.58 = 86.42 : x
  2. Step 2: Convert to fraction form
    167.60/251.58 = 86.42/x
  3. Step 3: Cross multiply
    167.60x = 251.58 × 86.42
  4. Step 4: Simplify right side
    167.60x = 21,741.54
  5. Step 5: Solve for x
    x = 21,741.54/167.60
  6. Step 6: Final answer
    x = 129.72

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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.