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Finding the Fourth Proportional to 111.69, 154.17 and 107.82

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Solution

The fourth proportional to 111.69, 154.17 and 107.82 is: 148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.69 : 154.17 = 107.82 : x
  2. Step 2: Convert to fraction form
    111.69/154.17 = 107.82/x
  3. Step 3: Cross multiply
    111.69x = 154.17 × 107.82
  4. Step 4: Simplify right side
    111.69x = 16,622.61
  5. Step 5: Solve for x
    x = 16,622.61/111.69
  6. Step 6: Final answer
    x = 148.83

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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.