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Finding the Fourth Proportional to 164.23, 246.80 and 83.13

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Solution

The fourth proportional to 164.23, 246.80 and 83.13 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.23 : 246.80 = 83.13 : x
  2. Step 2: Convert to fraction form
    164.23/246.80 = 83.13/x
  3. Step 3: Cross multiply
    164.23x = 246.80 × 83.13
  4. Step 4: Simplify right side
    164.23x = 20,515.30
  5. Step 5: Solve for x
    x = 20,515.30/164.23
  6. Step 6: Final answer
    x = 124.92

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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.