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Finding the Fourth Proportional to 114.67, 171.60 and 82.09

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Solution

The fourth proportional to 114.67, 171.60 and 82.09 is: 122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.67 : 171.60 = 82.09 : x
  2. Step 2: Convert to fraction form
    114.67/171.60 = 82.09/x
  3. Step 3: Cross multiply
    114.67x = 171.60 × 82.09
  4. Step 4: Simplify right side
    114.67x = 14,086.64
  5. Step 5: Solve for x
    x = 14,086.64/114.67
  6. Step 6: Final answer
    x = 122.85

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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.