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Finding the Fourth Proportional to 180.74, 270.98 and 89.37

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Solution

The fourth proportional to 180.74, 270.98 and 89.37 is: 133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 270.98 = 89.37 : x
  2. Step 2: Convert to fraction form
    180.74/270.98 = 89.37/x
  3. Step 3: Cross multiply
    180.74x = 270.98 × 89.37
  4. Step 4: Simplify right side
    180.74x = 24,217.48
  5. Step 5: Solve for x
    x = 24,217.48/180.74
  6. Step 6: Final answer
    x = 133.99

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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.