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Finding the Fourth Proportional to 164.46, 226.89 and 123.09

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Solution

The fourth proportional to 164.46, 226.89 and 123.09 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 226.89 = 123.09 : x
  2. Step 2: Convert to fraction form
    164.46/226.89 = 123.09/x
  3. Step 3: Cross multiply
    164.46x = 226.89 × 123.09
  4. Step 4: Simplify right side
    164.46x = 27,927.89
  5. Step 5: Solve for x
    x = 27,927.89/164.46
  6. Step 6: Final answer
    x = 169.82

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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.