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Finding the Fourth Proportional to 137.54, 189.60 and 96.10

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Solution

The fourth proportional to 137.54, 189.60 and 96.10 is: 132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 189.60 = 96.10 : x
  2. Step 2: Convert to fraction form
    137.54/189.60 = 96.10/x
  3. Step 3: Cross multiply
    137.54x = 189.60 × 96.10
  4. Step 4: Simplify right side
    137.54x = 18,220.56
  5. Step 5: Solve for x
    x = 18,220.56/137.54
  6. Step 6: Final answer
    x = 132.47

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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.