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Finding the Fourth Proportional to 164.35, 246.37 and 83.09

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Solution

The fourth proportional to 164.35, 246.37 and 83.09 is: 124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.35 : 246.37 = 83.09 : x
  2. Step 2: Convert to fraction form
    164.35/246.37 = 83.09/x
  3. Step 3: Cross multiply
    164.35x = 246.37 × 83.09
  4. Step 4: Simplify right side
    164.35x = 20,470.88
  5. Step 5: Solve for x
    x = 20,470.88/164.35
  6. Step 6: Final answer
    x = 124.56

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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.