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Finding the Fourth Proportional to 163.02, 224.97 and 96.67

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Solution

The fourth proportional to 163.02, 224.97 and 96.67 is: 133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 224.97 = 96.67 : x
  2. Step 2: Convert to fraction form
    163.02/224.97 = 96.67/x
  3. Step 3: Cross multiply
    163.02x = 224.97 × 96.67
  4. Step 4: Simplify right side
    163.02x = 21,747.37
  5. Step 5: Solve for x
    x = 21,747.37/163.02
  6. Step 6: Final answer
    x = 133.41

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Why These Related Problems?

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