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Finding the Fourth Proportional to 111.18, 166.76 and 76.84

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Solution

The fourth proportional to 111.18, 166.76 and 76.84 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.18 : 166.76 = 76.84 : x
  2. Step 2: Convert to fraction form
    111.18/166.76 = 76.84/x
  3. Step 3: Cross multiply
    111.18x = 166.76 × 76.84
  4. Step 4: Simplify right side
    111.18x = 12,813.84
  5. Step 5: Solve for x
    x = 12,813.84/111.18
  6. Step 6: Final answer
    x = 115.25

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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.