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Finding the Fourth Proportional to 121.99, 168.37 and 85.26

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Solution

The fourth proportional to 121.99, 168.37 and 85.26 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.99 : 168.37 = 85.26 : x
  2. Step 2: Convert to fraction form
    121.99/168.37 = 85.26/x
  3. Step 3: Cross multiply
    121.99x = 168.37 × 85.26
  4. Step 4: Simplify right side
    121.99x = 14,355.18
  5. Step 5: Solve for x
    x = 14,355.18/121.99
  6. Step 6: Final answer
    x = 117.68

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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.