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Finding the Fourth Proportional to 163.17, 244.59 and 82.05

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Solution

The fourth proportional to 163.17, 244.59 and 82.05 is: 122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.17 : 244.59 = 82.05 : x
  2. Step 2: Convert to fraction form
    163.17/244.59 = 82.05/x
  3. Step 3: Cross multiply
    163.17x = 244.59 × 82.05
  4. Step 4: Simplify right side
    163.17x = 20,068.61
  5. Step 5: Solve for x
    x = 20,068.61/163.17
  6. Step 6: Final answer
    x = 122.99

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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.