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Finding the Fourth Proportional to 121.63, 166.95 and 108.22

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Solution

The fourth proportional to 121.63, 166.95 and 108.22 is: 148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.63 : 166.95 = 108.22 : x
  2. Step 2: Convert to fraction form
    121.63/166.95 = 108.22/x
  3. Step 3: Cross multiply
    121.63x = 166.95 × 108.22
  4. Step 4: Simplify right side
    121.63x = 18,067.06
  5. Step 5: Solve for x
    x = 18,067.06/121.63
  6. Step 6: Final answer
    x = 148.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.