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Finding the Fourth Proportional to 173.11, 259.84 and 92.13

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Solution

The fourth proportional to 173.11, 259.84 and 92.13 is: 138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.11 : 259.84 = 92.13 : x
  2. Step 2: Convert to fraction form
    173.11/259.84 = 92.13/x
  3. Step 3: Cross multiply
    173.11x = 259.84 × 92.13
  4. Step 4: Simplify right side
    173.11x = 23,938.20
  5. Step 5: Solve for x
    x = 23,938.20/173.11
  6. Step 6: Final answer
    x = 138.28

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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.