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Finding the Fourth Proportional to 181.36, 271.97 and 77.13

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Solution

The fourth proportional to 181.36, 271.97 and 77.13 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.36 : 271.97 = 77.13 : x
  2. Step 2: Convert to fraction form
    181.36/271.97 = 77.13/x
  3. Step 3: Cross multiply
    181.36x = 271.97 × 77.13
  4. Step 4: Simplify right side
    181.36x = 20,975.97
  5. Step 5: Solve for x
    x = 20,975.97/181.36
  6. Step 6: Final answer
    x = 115.66

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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.