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Finding the Fourth Proportional to 121.74, 167.94 and 72.61

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Solution

The fourth proportional to 121.74, 167.94 and 72.61 is: 100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 167.94 = 72.61 : x
  2. Step 2: Convert to fraction form
    121.74/167.94 = 72.61/x
  3. Step 3: Cross multiply
    121.74x = 167.94 × 72.61
  4. Step 4: Simplify right side
    121.74x = 12,194.12
  5. Step 5: Solve for x
    x = 12,194.12/121.74
  6. Step 6: Final answer
    x = 100.17

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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.