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Finding the Fourth Proportional to 164.09, 226.39 and 108.76

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Solution

The fourth proportional to 164.09, 226.39 and 108.76 is: 150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.09 : 226.39 = 108.76 : x
  2. Step 2: Convert to fraction form
    164.09/226.39 = 108.76/x
  3. Step 3: Cross multiply
    164.09x = 226.39 × 108.76
  4. Step 4: Simplify right side
    164.09x = 24,622.18
  5. Step 5: Solve for x
    x = 24,622.18/164.09
  6. Step 6: Final answer
    x = 150.05

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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.