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Finding the Fourth Proportional to 180.13, 270.21 and 51.88

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Solution

The fourth proportional to 180.13, 270.21 and 51.88 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 270.21 = 51.88 : x
  2. Step 2: Convert to fraction form
    180.13/270.21 = 51.88/x
  3. Step 3: Cross multiply
    180.13x = 270.21 × 51.88
  4. Step 4: Simplify right side
    180.13x = 14,018.49
  5. Step 5: Solve for x
    x = 14,018.49/180.13
  6. Step 6: Final answer
    x = 77.82

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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.