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Finding the Fourth Proportional to 180.25, 270.27 and 70.54

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Solution

The fourth proportional to 180.25, 270.27 and 70.54 is: 105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 270.27 = 70.54 : x
  2. Step 2: Convert to fraction form
    180.25/270.27 = 70.54/x
  3. Step 3: Cross multiply
    180.25x = 270.27 × 70.54
  4. Step 4: Simplify right side
    180.25x = 19,064.17
  5. Step 5: Solve for x
    x = 19,064.17/180.25
  6. Step 6: Final answer
    x = 105.77

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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.