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Finding the Fourth Proportional to 138.37, 190.87 and 115.88

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Solution

The fourth proportional to 138.37, 190.87 and 115.88 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.37 : 190.87 = 115.88 : x
  2. Step 2: Convert to fraction form
    138.37/190.87 = 115.88/x
  3. Step 3: Cross multiply
    138.37x = 190.87 × 115.88
  4. Step 4: Simplify right side
    138.37x = 22,118.02
  5. Step 5: Solve for x
    x = 22,118.02/138.37
  6. Step 6: Final answer
    x = 159.85

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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.