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Finding the Fourth Proportional to 180.81, 270.77 and 107.51

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Solution

The fourth proportional to 180.81, 270.77 and 107.51 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.81 : 270.77 = 107.51 : x
  2. Step 2: Convert to fraction form
    180.81/270.77 = 107.51/x
  3. Step 3: Cross multiply
    180.81x = 270.77 × 107.51
  4. Step 4: Simplify right side
    180.81x = 29,108.59
  5. Step 5: Solve for x
    x = 29,108.59/180.81
  6. Step 6: Final answer
    x = 160.99

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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.