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Finding the Fourth Proportional to 164.43, 226.92 and 90.75

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Solution

The fourth proportional to 164.43, 226.92 and 90.75 is: 125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 226.92 = 90.75 : x
  2. Step 2: Convert to fraction form
    164.43/226.92 = 90.75/x
  3. Step 3: Cross multiply
    164.43x = 226.92 × 90.75
  4. Step 4: Simplify right side
    164.43x = 20,592.54
  5. Step 5: Solve for x
    x = 20,592.54/164.43
  6. Step 6: Final answer
    x = 125.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.