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Finding the Fourth Proportional to 109.67, 164.43 and 54.09

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Solution

The fourth proportional to 109.67, 164.43 and 54.09 is: 81.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.67 : 164.43 = 54.09 : x
  2. Step 2: Convert to fraction form
    109.67/164.43 = 54.09/x
  3. Step 3: Cross multiply
    109.67x = 164.43 × 54.09
  4. Step 4: Simplify right side
    109.67x = 8,894.02
  5. Step 5: Solve for x
    x = 8,894.02/109.67
  6. Step 6: Final answer
    x = 81.10

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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.