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Finding the Fourth Proportional to 121.96, 168.28 and 72.84

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Solution

The fourth proportional to 121.96, 168.28 and 72.84 is: 100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.96 : 168.28 = 72.84 : x
  2. Step 2: Convert to fraction form
    121.96/168.28 = 72.84/x
  3. Step 3: Cross multiply
    121.96x = 168.28 × 72.84
  4. Step 4: Simplify right side
    121.96x = 12,257.52
  5. Step 5: Solve for x
    x = 12,257.52/121.96
  6. Step 6: Final answer
    x = 100.50

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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.