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Finding the Fourth Proportional to 163.13, 224.77 and 121.67

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Solution

The fourth proportional to 163.13, 224.77 and 121.67 is: 167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 224.77 = 121.67 : x
  2. Step 2: Convert to fraction form
    163.13/224.77 = 121.67/x
  3. Step 3: Cross multiply
    163.13x = 224.77 × 121.67
  4. Step 4: Simplify right side
    163.13x = 27,346.03
  5. Step 5: Solve for x
    x = 27,346.03/163.13
  6. Step 6: Final answer
    x = 167.63

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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.