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Finding the Fourth Proportional to 173.82, 239.86 and 100.14

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Solution

The fourth proportional to 173.82, 239.86 and 100.14 is: 138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.82 : 239.86 = 100.14 : x
  2. Step 2: Convert to fraction form
    173.82/239.86 = 100.14/x
  3. Step 3: Cross multiply
    173.82x = 239.86 × 100.14
  4. Step 4: Simplify right side
    173.82x = 24,019.58
  5. Step 5: Solve for x
    x = 24,019.58/173.82
  6. Step 6: Final answer
    x = 138.19

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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.