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Finding the Fourth Proportional to 180.36, 270.61 and 89.06

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Solution

The fourth proportional to 180.36, 270.61 and 89.06 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270.61 = 89.06 : x
  2. Step 2: Convert to fraction form
    180.36/270.61 = 89.06/x
  3. Step 3: Cross multiply
    180.36x = 270.61 × 89.06
  4. Step 4: Simplify right side
    180.36x = 24,099.45
  5. Step 5: Solve for x
    x = 24,099.45/180.36
  6. Step 6: Final answer
    x = 133.62

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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.