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Finding the Fourth Proportional to 164.34, 226.77 and 109.09

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Solution

The fourth proportional to 164.34, 226.77 and 109.09 is: 150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.34 : 226.77 = 109.09 : x
  2. Step 2: Convert to fraction form
    164.34/226.77 = 109.09/x
  3. Step 3: Cross multiply
    164.34x = 226.77 × 109.09
  4. Step 4: Simplify right side
    164.34x = 24,738.34
  5. Step 5: Solve for x
    x = 24,738.34/164.34
  6. Step 6: Final answer
    x = 150.53

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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.