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Finding the Fourth Proportional to 164.68, 227.01 and 109.42

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Solution

The fourth proportional to 164.68, 227.01 and 109.42 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 227.01 = 109.42 : x
  2. Step 2: Convert to fraction form
    164.68/227.01 = 109.42/x
  3. Step 3: Cross multiply
    164.68x = 227.01 × 109.42
  4. Step 4: Simplify right side
    164.68x = 24,839.43
  5. Step 5: Solve for x
    x = 24,839.43/164.68
  6. Step 6: Final answer
    x = 150.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.