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Finding the Fourth Proportional to 137.15, 189.20 and 95.77

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Solution

The fourth proportional to 137.15, 189.20 and 95.77 is: 132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.15 : 189.20 = 95.77 : x
  2. Step 2: Convert to fraction form
    137.15/189.20 = 95.77/x
  3. Step 3: Cross multiply
    137.15x = 189.20 × 95.77
  4. Step 4: Simplify right side
    137.15x = 18,119.68
  5. Step 5: Solve for x
    x = 18,119.68/137.15
  6. Step 6: Final answer
    x = 132.12

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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.