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Finding the Fourth Proportional to 163.82, 245.21 and 86.68

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Solution

The fourth proportional to 163.82, 245.21 and 86.68 is: 129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 245.21 = 86.68 : x
  2. Step 2: Convert to fraction form
    163.82/245.21 = 86.68/x
  3. Step 3: Cross multiply
    163.82x = 245.21 × 86.68
  4. Step 4: Simplify right side
    163.82x = 21,254.80
  5. Step 5: Solve for x
    x = 21,254.80/163.82
  6. Step 6: Final answer
    x = 129.74

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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.