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Finding the Fourth Proportional to 164.25, 226.64 and 97.85

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Solution

The fourth proportional to 164.25, 226.64 and 97.85 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.25 : 226.64 = 97.85 : x
  2. Step 2: Convert to fraction form
    164.25/226.64 = 97.85/x
  3. Step 3: Cross multiply
    164.25x = 226.64 × 97.85
  4. Step 4: Simplify right side
    164.25x = 22,177.54
  5. Step 5: Solve for x
    x = 22,177.54/164.25
  6. Step 6: Final answer
    x = 135.02

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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.