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Finding the Fourth Proportional to 173.63, 239.61 and 96

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Solution

The fourth proportional to 173.63, 239.61 and 96 is: 132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.63 : 239.61 = 96 : x
  2. Step 2: Convert to fraction form
    173.63/239.61 = 96/x
  3. Step 3: Cross multiply
    173.63x = 239.61 × 96
  4. Step 4: Simplify right side
    173.63x = 23,002.56
  5. Step 5: Solve for x
    x = 23,002.56/173.63
  6. Step 6: Final answer
    x = 132.48

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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.