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Finding the Fourth Proportional to 163.72, 245.38 and 86.64

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Solution

The fourth proportional to 163.72, 245.38 and 86.64 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 245.38 = 86.64 : x
  2. Step 2: Convert to fraction form
    163.72/245.38 = 86.64/x
  3. Step 3: Cross multiply
    163.72x = 245.38 × 86.64
  4. Step 4: Simplify right side
    163.72x = 21,259.72
  5. Step 5: Solve for x
    x = 21,259.72/163.72
  6. Step 6: Final answer
    x = 129.85

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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.