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Finding the Fourth Proportional to 163.39, 245.02 and 76.57

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Solution

The fourth proportional to 163.39, 245.02 and 76.57 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.39 : 245.02 = 76.57 : x
  2. Step 2: Convert to fraction form
    163.39/245.02 = 76.57/x
  3. Step 3: Cross multiply
    163.39x = 245.02 × 76.57
  4. Step 4: Simplify right side
    163.39x = 18,761.99
  5. Step 5: Solve for x
    x = 18,761.99/163.39
  6. Step 6: Final answer
    x = 114.83

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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.