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Finding the Fourth Proportional to 111.56, 154 and 82.54

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Solution

The fourth proportional to 111.56, 154 and 82.54 is: 113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.56 : 154 = 82.54 : x
  2. Step 2: Convert to fraction form
    111.56/154 = 82.54/x
  3. Step 3: Cross multiply
    111.56x = 154 × 82.54
  4. Step 4: Simplify right side
    111.56x = 12,711.16
  5. Step 5: Solve for x
    x = 12,711.16/111.56
  6. Step 6: Final answer
    x = 113.94

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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.