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Finding the Fourth Proportional to 148.22, 222.33 and 83.06

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Solution

The fourth proportional to 148.22, 222.33 and 83.06 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.22 : 222.33 = 83.06 : x
  2. Step 2: Convert to fraction form
    148.22/222.33 = 83.06/x
  3. Step 3: Cross multiply
    148.22x = 222.33 × 83.06
  4. Step 4: Simplify right side
    148.22x = 18,466.73
  5. Step 5: Solve for x
    x = 18,466.73/148.22
  6. Step 6: Final answer
    x = 124.59

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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.