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Finding the Fourth Proportional to 163.14, 224.52 and 121.68

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Solution

The fourth proportional to 163.14, 224.52 and 121.68 is: 167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 224.52 = 121.68 : x
  2. Step 2: Convert to fraction form
    163.14/224.52 = 121.68/x
  3. Step 3: Cross multiply
    163.14x = 224.52 × 121.68
  4. Step 4: Simplify right side
    163.14x = 27,319.59
  5. Step 5: Solve for x
    x = 27,319.59/163.14
  6. Step 6: Final answer
    x = 167.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.