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Finding the Fourth Proportional to 164.27, 246.47 and 83.13

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Solution

The fourth proportional to 164.27, 246.47 and 83.13 is: 124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.27 : 246.47 = 83.13 : x
  2. Step 2: Convert to fraction form
    164.27/246.47 = 83.13/x
  3. Step 3: Cross multiply
    164.27x = 246.47 × 83.13
  4. Step 4: Simplify right side
    164.27x = 20,488.64
  5. Step 5: Solve for x
    x = 20,488.64/164.27
  6. Step 6: Final answer
    x = 124.73

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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.