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Finding the Fourth Proportional to 121.08, 166.86 and 86.52

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Solution

The fourth proportional to 121.08, 166.86 and 86.52 is: 119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.08 : 166.86 = 86.52 : x
  2. Step 2: Convert to fraction form
    121.08/166.86 = 86.52/x
  3. Step 3: Cross multiply
    121.08x = 166.86 × 86.52
  4. Step 4: Simplify right side
    121.08x = 14,436.73
  5. Step 5: Solve for x
    x = 14,436.73/121.08
  6. Step 6: Final answer
    x = 119.23

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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.