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Finding the Fourth Proportional to 173.75, 239.78 and 96.13

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Solution

The fourth proportional to 173.75, 239.78 and 96.13 is: 132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.75 : 239.78 = 96.13 : x
  2. Step 2: Convert to fraction form
    173.75/239.78 = 96.13/x
  3. Step 3: Cross multiply
    173.75x = 239.78 × 96.13
  4. Step 4: Simplify right side
    173.75x = 23,050.05
  5. Step 5: Solve for x
    x = 23,050.05/173.75
  6. Step 6: Final answer
    x = 132.66

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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.