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Finding the Fourth Proportional to 164.55, 226.90 and 122.55

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Solution

The fourth proportional to 164.55, 226.90 and 122.55 is: 168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.55 : 226.90 = 122.55 : x
  2. Step 2: Convert to fraction form
    164.55/226.90 = 122.55/x
  3. Step 3: Cross multiply
    164.55x = 226.90 × 122.55
  4. Step 4: Simplify right side
    164.55x = 27,806.60
  5. Step 5: Solve for x
    x = 27,806.60/164.55
  6. Step 6: Final answer
    x = 168.99

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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.