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Finding the Fourth Proportional to 180.21, 270.14 and 77.57

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Solution

The fourth proportional to 180.21, 270.14 and 77.57 is: 116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.21 : 270.14 = 77.57 : x
  2. Step 2: Convert to fraction form
    180.21/270.14 = 77.57/x
  3. Step 3: Cross multiply
    180.21x = 270.14 × 77.57
  4. Step 4: Simplify right side
    180.21x = 20,953.41
  5. Step 5: Solve for x
    x = 20,953.41/180.21
  6. Step 6: Final answer
    x = 116.27

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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.