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Finding the Fourth Proportional to 109.57, 164.38 and 54.73

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Solution

The fourth proportional to 109.57, 164.38 and 54.73 is: 82.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.57 : 164.38 = 54.73 : x
  2. Step 2: Convert to fraction form
    109.57/164.38 = 54.73/x
  3. Step 3: Cross multiply
    109.57x = 164.38 × 54.73
  4. Step 4: Simplify right side
    109.57x = 8,996.52
  5. Step 5: Solve for x
    x = 8,996.52/109.57
  6. Step 6: Final answer
    x = 82.11

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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.