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Finding the Fourth Proportional to 121.75, 167.98 and 71.95

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Solution

The fourth proportional to 121.75, 167.98 and 71.95 is: 99.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 167.98 = 71.95 : x
  2. Step 2: Convert to fraction form
    121.75/167.98 = 71.95/x
  3. Step 3: Cross multiply
    121.75x = 167.98 × 71.95
  4. Step 4: Simplify right side
    121.75x = 12,086.16
  5. Step 5: Solve for x
    x = 12,086.16/121.75
  6. Step 6: Final answer
    x = 99.27

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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.