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Finding the Fourth Proportional to 180.83, 271.15 and 107.49

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Solution

The fourth proportional to 180.83, 271.15 and 107.49 is: 161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 271.15 = 107.49 : x
  2. Step 2: Convert to fraction form
    180.83/271.15 = 107.49/x
  3. Step 3: Cross multiply
    180.83x = 271.15 × 107.49
  4. Step 4: Simplify right side
    180.83x = 29,146.66
  5. Step 5: Solve for x
    x = 29,146.66/180.83
  6. Step 6: Final answer
    x = 161.18

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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.