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Finding the Fourth Proportional to 164.68, 227.25 and 102.55

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Solution

The fourth proportional to 164.68, 227.25 and 102.55 is: 141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 227.25 = 102.55 : x
  2. Step 2: Convert to fraction form
    164.68/227.25 = 102.55/x
  3. Step 3: Cross multiply
    164.68x = 227.25 × 102.55
  4. Step 4: Simplify right side
    164.68x = 23,304.49
  5. Step 5: Solve for x
    x = 23,304.49/164.68
  6. Step 6: Final answer
    x = 141.51

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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.