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Finding the Fourth Proportional to 111.82, 167.64 and 50.92

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Solution

The fourth proportional to 111.82, 167.64 and 50.92 is: 76.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.82 : 167.64 = 50.92 : x
  2. Step 2: Convert to fraction form
    111.82/167.64 = 50.92/x
  3. Step 3: Cross multiply
    111.82x = 167.64 × 50.92
  4. Step 4: Simplify right side
    111.82x = 8,536.23
  5. Step 5: Solve for x
    x = 8,536.23/111.82
  6. Step 6: Final answer
    x = 76.34

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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.