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Finding the Fourth Proportional to 111.31, 166.12 and 104.49

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Solution

The fourth proportional to 111.31, 166.12 and 104.49 is: 155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.31 : 166.12 = 104.49 : x
  2. Step 2: Convert to fraction form
    111.31/166.12 = 104.49/x
  3. Step 3: Cross multiply
    111.31x = 166.12 × 104.49
  4. Step 4: Simplify right side
    111.31x = 17,357.62
  5. Step 5: Solve for x
    x = 17,357.62/111.31
  6. Step 6: Final answer
    x = 155.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.