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Finding the Fourth Proportional to 243.84, 365.81 and 81.54

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Solution

The fourth proportional to 243.84, 365.81 and 81.54 is: 122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 365.81 = 81.54 : x
  2. Step 2: Convert to fraction form
    243.84/365.81 = 81.54/x
  3. Step 3: Cross multiply
    243.84x = 365.81 × 81.54
  4. Step 4: Simplify right side
    243.84x = 29,828.15
  5. Step 5: Solve for x
    x = 29,828.15/243.84
  6. Step 6: Final answer
    x = 122.33

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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.