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Finding the Fourth Proportional to 163.93, 245.49 and 82.81

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Solution

The fourth proportional to 163.93, 245.49 and 82.81 is: 124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.93 : 245.49 = 82.81 : x
  2. Step 2: Convert to fraction form
    163.93/245.49 = 82.81/x
  3. Step 3: Cross multiply
    163.93x = 245.49 × 82.81
  4. Step 4: Simplify right side
    163.93x = 20,329.03
  5. Step 5: Solve for x
    x = 20,329.03/163.93
  6. Step 6: Final answer
    x = 124.01

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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.