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Finding the Fourth Proportional to 137.41, 189.63 and 81.39

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Solution

The fourth proportional to 137.41, 189.63 and 81.39 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.41 : 189.63 = 81.39 : x
  2. Step 2: Convert to fraction form
    137.41/189.63 = 81.39/x
  3. Step 3: Cross multiply
    137.41x = 189.63 × 81.39
  4. Step 4: Simplify right side
    137.41x = 15,434.32
  5. Step 5: Solve for x
    x = 15,434.32/137.41
  6. Step 6: Final answer
    x = 112.32

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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.