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Finding the Fourth Proportional to 111.57, 167.37 and 46.56

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Solution

The fourth proportional to 111.57, 167.37 and 46.56 is: 69.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 167.37 = 46.56 : x
  2. Step 2: Convert to fraction form
    111.57/167.37 = 46.56/x
  3. Step 3: Cross multiply
    111.57x = 167.37 × 46.56
  4. Step 4: Simplify right side
    111.57x = 7,792.75
  5. Step 5: Solve for x
    x = 7,792.75/111.57
  6. Step 6: Final answer
    x = 69.85

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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.