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Finding the Fourth Proportional to 137.96, 190.46 and 96.64

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Solution

The fourth proportional to 137.96, 190.46 and 96.64 is: 133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 190.46 = 96.64 : x
  2. Step 2: Convert to fraction form
    137.96/190.46 = 96.64/x
  3. Step 3: Cross multiply
    137.96x = 190.46 × 96.64
  4. Step 4: Simplify right side
    137.96x = 18,406.05
  5. Step 5: Solve for x
    x = 18,406.05/137.96
  6. Step 6: Final answer
    x = 133.42

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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.