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Finding the Fourth Proportional to 180.69, 270.85 and 77.89

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Solution

The fourth proportional to 180.69, 270.85 and 77.89 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 270.85 = 77.89 : x
  2. Step 2: Convert to fraction form
    180.69/270.85 = 77.89/x
  3. Step 3: Cross multiply
    180.69x = 270.85 × 77.89
  4. Step 4: Simplify right side
    180.69x = 21,096.51
  5. Step 5: Solve for x
    x = 21,096.51/180.69
  6. Step 6: Final answer
    x = 116.76

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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.