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Finding the Fourth Proportional to 137.79, 189.99 and 96.35

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Solution

The fourth proportional to 137.79, 189.99 and 96.35 is: 132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 189.99 = 96.35 : x
  2. Step 2: Convert to fraction form
    137.79/189.99 = 96.35/x
  3. Step 3: Cross multiply
    137.79x = 189.99 × 96.35
  4. Step 4: Simplify right side
    137.79x = 18,304.59
  5. Step 5: Solve for x
    x = 18,304.59/137.79
  6. Step 6: Final answer
    x = 132.84

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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.