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Finding the Fourth Proportional to 163.86, 245.37 and 86.85

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Solution

The fourth proportional to 163.86, 245.37 and 86.85 is: 130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.86 : 245.37 = 86.85 : x
  2. Step 2: Convert to fraction form
    163.86/245.37 = 86.85/x
  3. Step 3: Cross multiply
    163.86x = 245.37 × 86.85
  4. Step 4: Simplify right side
    163.86x = 21,310.38
  5. Step 5: Solve for x
    x = 21,310.38/163.86
  6. Step 6: Final answer
    x = 130.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.