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Finding the Fourth Proportional to 111.02, 166.12 and 92.66

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Solution

The fourth proportional to 111.02, 166.12 and 92.66 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 166.12 = 92.66 : x
  2. Step 2: Convert to fraction form
    111.02/166.12 = 92.66/x
  3. Step 3: Cross multiply
    111.02x = 166.12 × 92.66
  4. Step 4: Simplify right side
    111.02x = 15,391.62
  5. Step 5: Solve for x
    x = 15,391.62/111.02
  6. Step 6: Final answer
    x = 138.64

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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.