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Finding the Fourth Proportional to 138.11, 190.89 and 131.63

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Solution

The fourth proportional to 138.11, 190.89 and 131.63 is: 181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.11 : 190.89 = 131.63 : x
  2. Step 2: Convert to fraction form
    138.11/190.89 = 131.63/x
  3. Step 3: Cross multiply
    138.11x = 190.89 × 131.63
  4. Step 4: Simplify right side
    138.11x = 25,125.90
  5. Step 5: Solve for x
    x = 25,125.90/138.11
  6. Step 6: Final answer
    x = 181.93

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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.