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Finding the Fourth Proportional to 121.77, 168.05 and 75.13

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Solution

The fourth proportional to 121.77, 168.05 and 75.13 is: 103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.77 : 168.05 = 75.13 : x
  2. Step 2: Convert to fraction form
    121.77/168.05 = 75.13/x
  3. Step 3: Cross multiply
    121.77x = 168.05 × 75.13
  4. Step 4: Simplify right side
    121.77x = 12,625.60
  5. Step 5: Solve for x
    x = 12,625.60/121.77
  6. Step 6: Final answer
    x = 103.68

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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.