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Finding the Fourth Proportional to 137.43, 188.27 and 132.23

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Solution

The fourth proportional to 137.43, 188.27 and 132.23 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.43 : 188.27 = 132.23 : x
  2. Step 2: Convert to fraction form
    137.43/188.27 = 132.23/x
  3. Step 3: Cross multiply
    137.43x = 188.27 × 132.23
  4. Step 4: Simplify right side
    137.43x = 24,894.56
  5. Step 5: Solve for x
    x = 24,894.56/137.43
  6. Step 6: Final answer
    x = 181.15

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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.