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Finding the Fourth Proportional to 137.39, 189.59 and 82.10

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Solution

The fourth proportional to 137.39, 189.59 and 82.10 is: 113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.39 : 189.59 = 82.10 : x
  2. Step 2: Convert to fraction form
    137.39/189.59 = 82.10/x
  3. Step 3: Cross multiply
    137.39x = 189.59 × 82.10
  4. Step 4: Simplify right side
    137.39x = 15,564.80
  5. Step 5: Solve for x
    x = 15,564.80/137.39
  6. Step 6: Final answer
    x = 113.29

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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.