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Finding the Fourth Proportional to 137.64, 190.06 and 96.28

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Solution

The fourth proportional to 137.64, 190.06 and 96.28 is: 132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 190.06 = 96.28 : x
  2. Step 2: Convert to fraction form
    137.64/190.06 = 96.28/x
  3. Step 3: Cross multiply
    137.64x = 190.06 × 96.28
  4. Step 4: Simplify right side
    137.64x = 18,298.98
  5. Step 5: Solve for x
    x = 18,298.98/137.64
  6. Step 6: Final answer
    x = 132.95

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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.