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Finding the Fourth Proportional to 164.81, 227.52 and 105.83

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Solution

The fourth proportional to 164.81, 227.52 and 105.83 is: 146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.81 : 227.52 = 105.83 : x
  2. Step 2: Convert to fraction form
    164.81/227.52 = 105.83/x
  3. Step 3: Cross multiply
    164.81x = 227.52 × 105.83
  4. Step 4: Simplify right side
    164.81x = 24,078.16
  5. Step 5: Solve for x
    x = 24,078.16/164.81
  6. Step 6: Final answer
    x = 146.09

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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.