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Finding the Fourth Proportional to 180.26, 270.47 and 72.01

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Solution

The fourth proportional to 180.26, 270.47 and 72.01 is: 108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.26 : 270.47 = 72.01 : x
  2. Step 2: Convert to fraction form
    180.26/270.47 = 72.01/x
  3. Step 3: Cross multiply
    180.26x = 270.47 × 72.01
  4. Step 4: Simplify right side
    180.26x = 19,476.54
  5. Step 5: Solve for x
    x = 19,476.54/180.26
  6. Step 6: Final answer
    x = 108.05

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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.