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Finding the Fourth Proportional to 137.20, 189.31 and 82.01

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Solution

The fourth proportional to 137.20, 189.31 and 82.01 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.20 : 189.31 = 82.01 : x
  2. Step 2: Convert to fraction form
    137.20/189.31 = 82.01/x
  3. Step 3: Cross multiply
    137.20x = 189.31 × 82.01
  4. Step 4: Simplify right side
    137.20x = 15,525.97
  5. Step 5: Solve for x
    x = 15,525.97/137.20
  6. Step 6: Final answer
    x = 113.16

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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.