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Finding the Fourth Proportional to 109.61, 164.31 and 55.44

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Solution

The fourth proportional to 109.61, 164.31 and 55.44 is: 83.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.61 : 164.31 = 55.44 : x
  2. Step 2: Convert to fraction form
    109.61/164.31 = 55.44/x
  3. Step 3: Cross multiply
    109.61x = 164.31 × 55.44
  4. Step 4: Simplify right side
    109.61x = 9,109.35
  5. Step 5: Solve for x
    x = 9,109.35/109.61
  6. Step 6: Final answer
    x = 83.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.