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Finding the Fourth Proportional to 137, 189.02 and 81.71

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Solution

The fourth proportional to 137, 189.02 and 81.71 is: 112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 189.02 = 81.71 : x
  2. Step 2: Convert to fraction form
    137/189.02 = 81.71/x
  3. Step 3: Cross multiply
    137x = 189.02 × 81.71
  4. Step 4: Simplify right side
    137x = 15,444.82
  5. Step 5: Solve for x
    x = 15,444.82/137
  6. Step 6: Final answer
    x = 112.74

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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.