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Finding the Fourth Proportional to 164.04, 226.31 and 105.83

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Solution

The fourth proportional to 164.04, 226.31 and 105.83 is: 146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 226.31 = 105.83 : x
  2. Step 2: Convert to fraction form
    164.04/226.31 = 105.83/x
  3. Step 3: Cross multiply
    164.04x = 226.31 × 105.83
  4. Step 4: Simplify right side
    164.04x = 23,950.39
  5. Step 5: Solve for x
    x = 23,950.39/164.04
  6. Step 6: Final answer
    x = 146.00

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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.