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Finding the Fourth Proportional to 164.19, 246.44 and 83.09

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Solution

The fourth proportional to 164.19, 246.44 and 83.09 is: 124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.19 : 246.44 = 83.09 : x
  2. Step 2: Convert to fraction form
    164.19/246.44 = 83.09/x
  3. Step 3: Cross multiply
    164.19x = 246.44 × 83.09
  4. Step 4: Simplify right side
    164.19x = 20,476.13
  5. Step 5: Solve for x
    x = 20,476.13/164.19
  6. Step 6: Final answer
    x = 124.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.