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Finding the Fourth Proportional to 163.96, 246.21 and 95.53

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Solution

The fourth proportional to 163.96, 246.21 and 95.53 is: 143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 246.21 = 95.53 : x
  2. Step 2: Convert to fraction form
    163.96/246.21 = 95.53/x
  3. Step 3: Cross multiply
    163.96x = 246.21 × 95.53
  4. Step 4: Simplify right side
    163.96x = 23,520.44
  5. Step 5: Solve for x
    x = 23,520.44/163.96
  6. Step 6: Final answer
    x = 143.45

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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.