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Finding the Fourth Proportional to 111.84, 167.78 and 50.98

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Solution

The fourth proportional to 111.84, 167.78 and 50.98 is: 76.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 167.78 = 50.98 : x
  2. Step 2: Convert to fraction form
    111.84/167.78 = 50.98/x
  3. Step 3: Cross multiply
    111.84x = 167.78 × 50.98
  4. Step 4: Simplify right side
    111.84x = 8,553.42
  5. Step 5: Solve for x
    x = 8,553.42/111.84
  6. Step 6: Final answer
    x = 76.48

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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.