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Finding the Fourth Proportional to 122.75, 169.37 and 72.95

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Solution

The fourth proportional to 122.75, 169.37 and 72.95 is: 100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 169.37 = 72.95 : x
  2. Step 2: Convert to fraction form
    122.75/169.37 = 72.95/x
  3. Step 3: Cross multiply
    122.75x = 169.37 × 72.95
  4. Step 4: Simplify right side
    122.75x = 12,355.76
  5. Step 5: Solve for x
    x = 12,355.76/122.75
  6. Step 6: Final answer
    x = 100.66

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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.