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Finding the Fourth Proportional to 111.09, 166.63 and 76.75

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Solution

The fourth proportional to 111.09, 166.63 and 76.75 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.09 : 166.63 = 76.75 : x
  2. Step 2: Convert to fraction form
    111.09/166.63 = 76.75/x
  3. Step 3: Cross multiply
    111.09x = 166.63 × 76.75
  4. Step 4: Simplify right side
    111.09x = 12,788.85
  5. Step 5: Solve for x
    x = 12,788.85/111.09
  6. Step 6: Final answer
    x = 115.12

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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.