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Finding the Fourth Proportional to 111.22, 166.82 and 53.44

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Solution

The fourth proportional to 111.22, 166.82 and 53.44 is: 80.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.22 : 166.82 = 53.44 : x
  2. Step 2: Convert to fraction form
    111.22/166.82 = 53.44/x
  3. Step 3: Cross multiply
    111.22x = 166.82 × 53.44
  4. Step 4: Simplify right side
    111.22x = 8,914.86
  5. Step 5: Solve for x
    x = 8,914.86/111.22
  6. Step 6: Final answer
    x = 80.16

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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.