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Finding the Fourth Proportional to 121.96, 168.48 and 103.74

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Solution

The fourth proportional to 121.96, 168.48 and 103.74 is: 143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.96 : 168.48 = 103.74 : x
  2. Step 2: Convert to fraction form
    121.96/168.48 = 103.74/x
  3. Step 3: Cross multiply
    121.96x = 168.48 × 103.74
  4. Step 4: Simplify right side
    121.96x = 17,478.12
  5. Step 5: Solve for x
    x = 17,478.12/121.96
  6. Step 6: Final answer
    x = 143.31

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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.