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Finding the Fourth Proportional to 173.69, 260.43 and 69.48

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Solution

The fourth proportional to 173.69, 260.43 and 69.48 is: 104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.69 : 260.43 = 69.48 : x
  2. Step 2: Convert to fraction form
    173.69/260.43 = 69.48/x
  3. Step 3: Cross multiply
    173.69x = 260.43 × 69.48
  4. Step 4: Simplify right side
    173.69x = 18,094.68
  5. Step 5: Solve for x
    x = 18,094.68/173.69
  6. Step 6: Final answer
    x = 104.18

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