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Finding the Fourth Proportional to 163.90, 245.67 and 82.81

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Solution

The fourth proportional to 163.90, 245.67 and 82.81 is: 124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 245.67 = 82.81 : x
  2. Step 2: Convert to fraction form
    163.90/245.67 = 82.81/x
  3. Step 3: Cross multiply
    163.90x = 245.67 × 82.81
  4. Step 4: Simplify right side
    163.90x = 20,343.93
  5. Step 5: Solve for x
    x = 20,343.93/163.90
  6. Step 6: Final answer
    x = 124.12

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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.