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Finding the Fourth Proportional to 137.30, 189.61 and 95.92

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Solution

The fourth proportional to 137.30, 189.61 and 95.92 is: 132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 189.61 = 95.92 : x
  2. Step 2: Convert to fraction form
    137.30/189.61 = 95.92/x
  3. Step 3: Cross multiply
    137.30x = 189.61 × 95.92
  4. Step 4: Simplify right side
    137.30x = 18,186.68
  5. Step 5: Solve for x
    x = 18,186.68/137.30
  6. Step 6: Final answer
    x = 132.46

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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.