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Finding the Fourth Proportional to 137.71, 189.97 and 106.59

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Solution

The fourth proportional to 137.71, 189.97 and 106.59 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.71 : 189.97 = 106.59 : x
  2. Step 2: Convert to fraction form
    137.71/189.97 = 106.59/x
  3. Step 3: Cross multiply
    137.71x = 189.97 × 106.59
  4. Step 4: Simplify right side
    137.71x = 20,248.90
  5. Step 5: Solve for x
    x = 20,248.90/137.71
  6. Step 6: Final answer
    x = 147.04

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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.