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Finding the Fourth Proportional to 111.76, 167.64 and 67.84

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Solution

The fourth proportional to 111.76, 167.64 and 67.84 is: 101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.76 : 167.64 = 67.84 : x
  2. Step 2: Convert to fraction form
    111.76/167.64 = 67.84/x
  3. Step 3: Cross multiply
    111.76x = 167.64 × 67.84
  4. Step 4: Simplify right side
    111.76x = 11,372.70
  5. Step 5: Solve for x
    x = 11,372.70/111.76
  6. Step 6: Final answer
    x = 101.76

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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.