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Finding the Fourth Proportional to 164.26, 226.68 and 106

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Solution

The fourth proportional to 164.26, 226.68 and 106 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.26 : 226.68 = 106 : x
  2. Step 2: Convert to fraction form
    164.26/226.68 = 106/x
  3. Step 3: Cross multiply
    164.26x = 226.68 × 106
  4. Step 4: Simplify right side
    164.26x = 24,028.08
  5. Step 5: Solve for x
    x = 24,028.08/164.26
  6. Step 6: Final answer
    x = 146.28

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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.