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Finding the Fourth Proportional to 111.93, 154.46 and 76.85

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Solution

The fourth proportional to 111.93, 154.46 and 76.85 is: 106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.93 : 154.46 = 76.85 : x
  2. Step 2: Convert to fraction form
    111.93/154.46 = 76.85/x
  3. Step 3: Cross multiply
    111.93x = 154.46 × 76.85
  4. Step 4: Simplify right side
    111.93x = 11,869.82
  5. Step 5: Solve for x
    x = 11,869.82/111.93
  6. Step 6: Final answer
    x = 106.05

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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.