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Finding the Fourth Proportional to 111.16, 166.83 and 99.82

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Solution

The fourth proportional to 111.16, 166.83 and 99.82 is: 149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 166.83 = 99.82 : x
  2. Step 2: Convert to fraction form
    111.16/166.83 = 99.82/x
  3. Step 3: Cross multiply
    111.16x = 166.83 × 99.82
  4. Step 4: Simplify right side
    111.16x = 16,652.97
  5. Step 5: Solve for x
    x = 16,652.97/111.16
  6. Step 6: Final answer
    x = 149.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.