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Finding the Fourth Proportional to 111.58, 154.11 and 105.85

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Solution

The fourth proportional to 111.58, 154.11 and 105.85 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.58 : 154.11 = 105.85 : x
  2. Step 2: Convert to fraction form
    111.58/154.11 = 105.85/x
  3. Step 3: Cross multiply
    111.58x = 154.11 × 105.85
  4. Step 4: Simplify right side
    111.58x = 16,312.54
  5. Step 5: Solve for x
    x = 16,312.54/111.58
  6. Step 6: Final answer
    x = 146.20

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Why These Related Problems?

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