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Finding the Fourth Proportional to 81.70, 122.56 and 30.33

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Solution

The fourth proportional to 81.70, 122.56 and 30.33 is: 45.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.70 : 122.56 = 30.33 : x
  2. Step 2: Convert to fraction form
    81.70/122.56 = 30.33/x
  3. Step 3: Cross multiply
    81.70x = 122.56 × 30.33
  4. Step 4: Simplify right side
    81.70x = 3,717.17
  5. Step 5: Solve for x
    x = 3,717.17/81.70
  6. Step 6: Final answer
    x = 45.50

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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.