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Finding the Fourth Proportional to 137.88, 190.14 and 96.36

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Solution

The fourth proportional to 137.88, 190.14 and 96.36 is: 132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.88 : 190.14 = 96.36 : x
  2. Step 2: Convert to fraction form
    137.88/190.14 = 96.36/x
  3. Step 3: Cross multiply
    137.88x = 190.14 × 96.36
  4. Step 4: Simplify right side
    137.88x = 18,321.89
  5. Step 5: Solve for x
    x = 18,321.89/137.88
  6. Step 6: Final answer
    x = 132.88

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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.