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Finding the Fourth Proportional to 121.89, 182.37 and 106.56

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Solution

The fourth proportional to 121.89, 182.37 and 106.56 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.89 : 182.37 = 106.56 : x
  2. Step 2: Convert to fraction form
    121.89/182.37 = 106.56/x
  3. Step 3: Cross multiply
    121.89x = 182.37 × 106.56
  4. Step 4: Simplify right side
    121.89x = 19,433.35
  5. Step 5: Solve for x
    x = 19,433.35/121.89
  6. Step 6: Final answer
    x = 159.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.