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Finding the Fourth Proportional to 111.10, 166.30 and 76.66

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Solution

The fourth proportional to 111.10, 166.30 and 76.66 is: 114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.10 : 166.30 = 76.66 : x
  2. Step 2: Convert to fraction form
    111.10/166.30 = 76.66/x
  3. Step 3: Cross multiply
    111.10x = 166.30 × 76.66
  4. Step 4: Simplify right side
    111.10x = 12,747.95
  5. Step 5: Solve for x
    x = 12,747.95/111.10
  6. Step 6: Final answer
    x = 114.75

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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.