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Finding the Fourth Proportional to 180.23, 270.08 and 108.01

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Solution

The fourth proportional to 180.23, 270.08 and 108.01 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 270.08 = 108.01 : x
  2. Step 2: Convert to fraction form
    180.23/270.08 = 108.01/x
  3. Step 3: Cross multiply
    180.23x = 270.08 × 108.01
  4. Step 4: Simplify right side
    180.23x = 29,169.45
  5. Step 5: Solve for x
    x = 29,169.45/180.23
  6. Step 6: Final answer
    x = 161.85

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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.