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Finding the Fourth Proportional to 137.41, 189.52 and 82.13

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Solution

The fourth proportional to 137.41, 189.52 and 82.13 is: 113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.41 : 189.52 = 82.13 : x
  2. Step 2: Convert to fraction form
    137.41/189.52 = 82.13/x
  3. Step 3: Cross multiply
    137.41x = 189.52 × 82.13
  4. Step 4: Simplify right side
    137.41x = 15,565.28
  5. Step 5: Solve for x
    x = 15,565.28/137.41
  6. Step 6: Final answer
    x = 113.28

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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.