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Finding the Fourth Proportional to 131.43, 180.31 and 123.15

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Solution

The fourth proportional to 131.43, 180.31 and 123.15 is: 168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.43 : 180.31 = 123.15 : x
  2. Step 2: Convert to fraction form
    131.43/180.31 = 123.15/x
  3. Step 3: Cross multiply
    131.43x = 180.31 × 123.15
  4. Step 4: Simplify right side
    131.43x = 22,204.87
  5. Step 5: Solve for x
    x = 22,204.87/131.43
  6. Step 6: Final answer
    x = 168.95

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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.