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Finding the Fourth Proportional to 163.99, 246.03 and 82.81

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Solution

The fourth proportional to 163.99, 246.03 and 82.81 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.99 : 246.03 = 82.81 : x
  2. Step 2: Convert to fraction form
    163.99/246.03 = 82.81/x
  3. Step 3: Cross multiply
    163.99x = 246.03 × 82.81
  4. Step 4: Simplify right side
    163.99x = 20,373.74
  5. Step 5: Solve for x
    x = 20,373.74/163.99
  6. Step 6: Final answer
    x = 124.24

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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.