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Finding the Fourth Proportional to 180, 270 and 51.76

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Solution

The fourth proportional to 180, 270 and 51.76 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 270 = 51.76 : x
  2. Step 2: Convert to fraction form
    180/270 = 51.76/x
  3. Step 3: Cross multiply
    180x = 270 × 51.76
  4. Step 4: Simplify right side
    180x = 13,975.20
  5. Step 5: Solve for x
    x = 13,975.20/180
  6. Step 6: Final answer
    x = 77.64

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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.