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Finding the Fourth Proportional to 111.59, 167.22 and 53.82

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Solution

The fourth proportional to 111.59, 167.22 and 53.82 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.59 : 167.22 = 53.82 : x
  2. Step 2: Convert to fraction form
    111.59/167.22 = 53.82/x
  3. Step 3: Cross multiply
    111.59x = 167.22 × 53.82
  4. Step 4: Simplify right side
    111.59x = 8,999.78
  5. Step 5: Solve for x
    x = 8,999.78/111.59
  6. Step 6: Final answer
    x = 80.65

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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.