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Finding the Fourth Proportional to 111.73, 154.16 and 85.52

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Solution

The fourth proportional to 111.73, 154.16 and 85.52 is: 118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.73 : 154.16 = 85.52 : x
  2. Step 2: Convert to fraction form
    111.73/154.16 = 85.52/x
  3. Step 3: Cross multiply
    111.73x = 154.16 × 85.52
  4. Step 4: Simplify right side
    111.73x = 13,183.72
  5. Step 5: Solve for x
    x = 13,183.72/111.73
  6. Step 6: Final answer
    x = 118.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.