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Finding the Fourth Proportional to 137.83, 190.10 and 96.37

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Solution

The fourth proportional to 137.83, 190.10 and 96.37 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.83 : 190.10 = 96.37 : x
  2. Step 2: Convert to fraction form
    137.83/190.10 = 96.37/x
  3. Step 3: Cross multiply
    137.83x = 190.10 × 96.37
  4. Step 4: Simplify right side
    137.83x = 18,318.99
  5. Step 5: Solve for x
    x = 18,318.99/137.83
  6. Step 6: Final answer
    x = 132.91

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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.