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Finding the Fourth Proportional to 121.61, 167.88 and 77.95

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Solution

The fourth proportional to 121.61, 167.88 and 77.95 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.61 : 167.88 = 77.95 : x
  2. Step 2: Convert to fraction form
    121.61/167.88 = 77.95/x
  3. Step 3: Cross multiply
    121.61x = 167.88 × 77.95
  4. Step 4: Simplify right side
    121.61x = 13,086.25
  5. Step 5: Solve for x
    x = 13,086.25/121.61
  6. Step 6: Final answer
    x = 107.61

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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.