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Finding the Fourth Proportional to 164.28, 226.82 and 102.14

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Solution

The fourth proportional to 164.28, 226.82 and 102.14 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.28 : 226.82 = 102.14 : x
  2. Step 2: Convert to fraction form
    164.28/226.82 = 102.14/x
  3. Step 3: Cross multiply
    164.28x = 226.82 × 102.14
  4. Step 4: Simplify right side
    164.28x = 23,167.39
  5. Step 5: Solve for x
    x = 23,167.39/164.28
  6. Step 6: Final answer
    x = 141.02

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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.