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Finding the Fourth Proportional to 164.33, 226.82 and 97.94

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Solution

The fourth proportional to 164.33, 226.82 and 97.94 is: 135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 226.82 = 97.94 : x
  2. Step 2: Convert to fraction form
    164.33/226.82 = 97.94/x
  3. Step 3: Cross multiply
    164.33x = 226.82 × 97.94
  4. Step 4: Simplify right side
    164.33x = 22,213.13
  5. Step 5: Solve for x
    x = 22,213.13/164.33
  6. Step 6: Final answer
    x = 135.18

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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.