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Finding the Fourth Proportional to 180.82, 249.54 and 102.14

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Solution

The fourth proportional to 180.82, 249.54 and 102.14 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 249.54 = 102.14 : x
  2. Step 2: Convert to fraction form
    180.82/249.54 = 102.14/x
  3. Step 3: Cross multiply
    180.82x = 249.54 × 102.14
  4. Step 4: Simplify right side
    180.82x = 25,488.02
  5. Step 5: Solve for x
    x = 25,488.02/180.82
  6. Step 6: Final answer
    x = 140.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.