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Finding the Fourth Proportional to 180.51, 270.72 and 77.82

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Solution

The fourth proportional to 180.51, 270.72 and 77.82 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 270.72 = 77.82 : x
  2. Step 2: Convert to fraction form
    180.51/270.72 = 77.82/x
  3. Step 3: Cross multiply
    180.51x = 270.72 × 77.82
  4. Step 4: Simplify right side
    180.51x = 21,067.43
  5. Step 5: Solve for x
    x = 21,067.43/180.51
  6. Step 6: Final answer
    x = 116.71

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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.