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Finding the Fourth Proportional to 173.86, 239.90 and 96.22

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Solution

The fourth proportional to 173.86, 239.90 and 96.22 is: 132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.86 : 239.90 = 96.22 : x
  2. Step 2: Convert to fraction form
    173.86/239.90 = 96.22/x
  3. Step 3: Cross multiply
    173.86x = 239.90 × 96.22
  4. Step 4: Simplify right side
    173.86x = 23,083.18
  5. Step 5: Solve for x
    x = 23,083.18/173.86
  6. Step 6: Final answer
    x = 132.77

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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.