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Finding the Fourth Proportional to 109.60, 164.41 and 36.47

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Solution

The fourth proportional to 109.60, 164.41 and 36.47 is: 54.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.60 : 164.41 = 36.47 : x
  2. Step 2: Convert to fraction form
    109.60/164.41 = 36.47/x
  3. Step 3: Cross multiply
    109.60x = 164.41 × 36.47
  4. Step 4: Simplify right side
    109.60x = 5,996.35
  5. Step 5: Solve for x
    x = 5,996.35/109.60
  6. Step 6: Final answer
    x = 54.71

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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.