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Finding the Fourth Proportional to 173.32, 259.92 and 96.22

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Solution

The fourth proportional to 173.32, 259.92 and 96.22 is: 144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 259.92 = 96.22 : x
  2. Step 2: Convert to fraction form
    173.32/259.92 = 96.22/x
  3. Step 3: Cross multiply
    173.32x = 259.92 × 96.22
  4. Step 4: Simplify right side
    173.32x = 25,009.50
  5. Step 5: Solve for x
    x = 25,009.50/173.32
  6. Step 6: Final answer
    x = 144.30

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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.