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Finding the Fourth Proportional to 164.01, 226.33 and 105.79

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Solution

The fourth proportional to 164.01, 226.33 and 105.79 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.01 : 226.33 = 105.79 : x
  2. Step 2: Convert to fraction form
    164.01/226.33 = 105.79/x
  3. Step 3: Cross multiply
    164.01x = 226.33 × 105.79
  4. Step 4: Simplify right side
    164.01x = 23,943.04
  5. Step 5: Solve for x
    x = 23,943.04/164.01
  6. Step 6: Final answer
    x = 145.99

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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.