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Finding the Fourth Proportional to 111.14, 166.91 and 106.26

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Solution

The fourth proportional to 111.14, 166.91 and 106.26 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.14 : 166.91 = 106.26 : x
  2. Step 2: Convert to fraction form
    111.14/166.91 = 106.26/x
  3. Step 3: Cross multiply
    111.14x = 166.91 × 106.26
  4. Step 4: Simplify right side
    111.14x = 17,735.33
  5. Step 5: Solve for x
    x = 17,735.33/111.14
  6. Step 6: Final answer
    x = 159.57

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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.