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Finding the Fourth Proportional to 111.82, 167.73 and 30.66

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Solution

The fourth proportional to 111.82, 167.73 and 30.66 is: 45.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.82 : 167.73 = 30.66 : x
  2. Step 2: Convert to fraction form
    111.82/167.73 = 30.66/x
  3. Step 3: Cross multiply
    111.82x = 167.73 × 30.66
  4. Step 4: Simplify right side
    111.82x = 5,142.60
  5. Step 5: Solve for x
    x = 5,142.60/111.82
  6. Step 6: Final answer
    x = 45.99

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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.