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Finding the Fourth Proportional to 137.37, 189.37 and 95.86

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Solution

The fourth proportional to 137.37, 189.37 and 95.86 is: 132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.37 : 189.37 = 95.86 : x
  2. Step 2: Convert to fraction form
    137.37/189.37 = 95.86/x
  3. Step 3: Cross multiply
    137.37x = 189.37 × 95.86
  4. Step 4: Simplify right side
    137.37x = 18,153.01
  5. Step 5: Solve for x
    x = 18,153.01/137.37
  6. Step 6: Final answer
    x = 132.15

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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.