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Finding the Fourth Proportional to 164, 226.34 and 105.83

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Solution

The fourth proportional to 164, 226.34 and 105.83 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 226.34 = 105.83 : x
  2. Step 2: Convert to fraction form
    164/226.34 = 105.83/x
  3. Step 3: Cross multiply
    164x = 226.34 × 105.83
  4. Step 4: Simplify right side
    164x = 23,953.56
  5. Step 5: Solve for x
    x = 23,953.56/164
  6. Step 6: Final answer
    x = 146.06

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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.