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Finding the Fourth Proportional to 121.12, 167.26 and 96.48

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Solution

The fourth proportional to 121.12, 167.26 and 96.48 is: 133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 167.26 = 96.48 : x
  2. Step 2: Convert to fraction form
    121.12/167.26 = 96.48/x
  3. Step 3: Cross multiply
    121.12x = 167.26 × 96.48
  4. Step 4: Simplify right side
    121.12x = 16,137.24
  5. Step 5: Solve for x
    x = 16,137.24/121.12
  6. Step 6: Final answer
    x = 133.23

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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.