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Finding the Fourth Proportional to 164.27, 226.70 and 109.03

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Solution

The fourth proportional to 164.27, 226.70 and 109.03 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.27 : 226.70 = 109.03 : x
  2. Step 2: Convert to fraction form
    164.27/226.70 = 109.03/x
  3. Step 3: Cross multiply
    164.27x = 226.70 × 109.03
  4. Step 4: Simplify right side
    164.27x = 24,715.97
  5. Step 5: Solve for x
    x = 24,715.97/164.27
  6. Step 6: Final answer
    x = 150.46

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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.