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Finding the Fourth Proportional to 172.93, 259.56 and 76.81

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Solution

The fourth proportional to 172.93, 259.56 and 76.81 is: 115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.93 : 259.56 = 76.81 : x
  2. Step 2: Convert to fraction form
    172.93/259.56 = 76.81/x
  3. Step 3: Cross multiply
    172.93x = 259.56 × 76.81
  4. Step 4: Simplify right side
    172.93x = 19,936.80
  5. Step 5: Solve for x
    x = 19,936.80/172.93
  6. Step 6: Final answer
    x = 115.29

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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.