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Finding the Fourth Proportional to 137.76, 189.92 and 96.24

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Solution

The fourth proportional to 137.76, 189.92 and 96.24 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 189.92 = 96.24 : x
  2. Step 2: Convert to fraction form
    137.76/189.92 = 96.24/x
  3. Step 3: Cross multiply
    137.76x = 189.92 × 96.24
  4. Step 4: Simplify right side
    137.76x = 18,277.90
  5. Step 5: Solve for x
    x = 18,277.90/137.76
  6. Step 6: Final answer
    x = 132.68

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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.