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Finding the Fourth Proportional to 111.92, 154.78 and 110.70

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Solution

The fourth proportional to 111.92, 154.78 and 110.70 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 154.78 = 110.70 : x
  2. Step 2: Convert to fraction form
    111.92/154.78 = 110.70/x
  3. Step 3: Cross multiply
    111.92x = 154.78 × 110.70
  4. Step 4: Simplify right side
    111.92x = 17,134.15
  5. Step 5: Solve for x
    x = 17,134.15/111.92
  6. Step 6: Final answer
    x = 153.09

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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.