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Finding the Fourth Proportional to 121.74, 168.17 and 97.35

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Solution

The fourth proportional to 121.74, 168.17 and 97.35 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 168.17 = 97.35 : x
  2. Step 2: Convert to fraction form
    121.74/168.17 = 97.35/x
  3. Step 3: Cross multiply
    121.74x = 168.17 × 97.35
  4. Step 4: Simplify right side
    121.74x = 16,370.86
  5. Step 5: Solve for x
    x = 16,370.86/121.74
  6. Step 6: Final answer
    x = 134.47

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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.