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Finding the Fourth Proportional to 121.21, 167.46 and 102.98

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Solution

The fourth proportional to 121.21, 167.46 and 102.98 is: 142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.21 : 167.46 = 102.98 : x
  2. Step 2: Convert to fraction form
    121.21/167.46 = 102.98/x
  3. Step 3: Cross multiply
    121.21x = 167.46 × 102.98
  4. Step 4: Simplify right side
    121.21x = 17,245.03
  5. Step 5: Solve for x
    x = 17,245.03/121.21
  6. Step 6: Final answer
    x = 142.27

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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.