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Finding the Fourth Proportional to 111.29, 166.58 and 76.85

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Solution

The fourth proportional to 111.29, 166.58 and 76.85 is: 115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.29 : 166.58 = 76.85 : x
  2. Step 2: Convert to fraction form
    111.29/166.58 = 76.85/x
  3. Step 3: Cross multiply
    111.29x = 166.58 × 76.85
  4. Step 4: Simplify right side
    111.29x = 12,800.46
  5. Step 5: Solve for x
    x = 12,800.46/111.29
  6. Step 6: Final answer
    x = 115.02

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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.