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Finding the Fourth Proportional to 180.48, 270.48 and 107.28

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Solution

The fourth proportional to 180.48, 270.48 and 107.28 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 270.48 = 107.28 : x
  2. Step 2: Convert to fraction form
    180.48/270.48 = 107.28/x
  3. Step 3: Cross multiply
    180.48x = 270.48 × 107.28
  4. Step 4: Simplify right side
    180.48x = 29,017.09
  5. Step 5: Solve for x
    x = 29,017.09/180.48
  6. Step 6: Final answer
    x = 160.78

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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.