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Finding the Fourth Proportional to 164.09, 226.32 and 101.85

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Solution

The fourth proportional to 164.09, 226.32 and 101.85 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.09 : 226.32 = 101.85 : x
  2. Step 2: Convert to fraction form
    164.09/226.32 = 101.85/x
  3. Step 3: Cross multiply
    164.09x = 226.32 × 101.85
  4. Step 4: Simplify right side
    164.09x = 23,050.69
  5. Step 5: Solve for x
    x = 23,050.69/164.09
  6. Step 6: Final answer
    x = 140.48

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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.