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Finding the Fourth Proportional to 180.56, 270.64 and 89.32

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Solution

The fourth proportional to 180.56, 270.64 and 89.32 is: 133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 270.64 = 89.32 : x
  2. Step 2: Convert to fraction form
    180.56/270.64 = 89.32/x
  3. Step 3: Cross multiply
    180.56x = 270.64 × 89.32
  4. Step 4: Simplify right side
    180.56x = 24,173.12
  5. Step 5: Solve for x
    x = 24,173.12/180.56
  6. Step 6: Final answer
    x = 133.88

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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.