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Finding the Fourth Proportional to 111.73, 167.60 and 30.58

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Solution

The fourth proportional to 111.73, 167.60 and 30.58 is: 45.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.73 : 167.60 = 30.58 : x
  2. Step 2: Convert to fraction form
    111.73/167.60 = 30.58/x
  3. Step 3: Cross multiply
    111.73x = 167.60 × 30.58
  4. Step 4: Simplify right side
    111.73x = 5,125.21
  5. Step 5: Solve for x
    x = 5,125.21/111.73
  6. Step 6: Final answer
    x = 45.87

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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.