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Finding the Fourth Proportional to 115.47, 173.00 and 96.33

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Solution

The fourth proportional to 115.47, 173.00 and 96.33 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.47 : 173.00 = 96.33 : x
  2. Step 2: Convert to fraction form
    115.47/173.00 = 96.33/x
  3. Step 3: Cross multiply
    115.47x = 173.00 × 96.33
  4. Step 4: Simplify right side
    115.47x = 16,664.61
  5. Step 5: Solve for x
    x = 16,664.61/115.47
  6. Step 6: Final answer
    x = 144.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.