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Finding the Fourth Proportional to 164.77, 227.32 and 105.75

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Solution

The fourth proportional to 164.77, 227.32 and 105.75 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 227.32 = 105.75 : x
  2. Step 2: Convert to fraction form
    164.77/227.32 = 105.75/x
  3. Step 3: Cross multiply
    164.77x = 227.32 × 105.75
  4. Step 4: Simplify right side
    164.77x = 24,039.09
  5. Step 5: Solve for x
    x = 24,039.09/164.77
  6. Step 6: Final answer
    x = 145.89

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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.