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Finding the Fourth Proportional to 111.93, 167.84 and 51.11

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Solution

The fourth proportional to 111.93, 167.84 and 51.11 is: 76.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.93 : 167.84 = 51.11 : x
  2. Step 2: Convert to fraction form
    111.93/167.84 = 51.11/x
  3. Step 3: Cross multiply
    111.93x = 167.84 × 51.11
  4. Step 4: Simplify right side
    111.93x = 8,577.66
  5. Step 5: Solve for x
    x = 8,577.66/111.93
  6. Step 6: Final answer
    x = 76.63

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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.