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Finding the Fourth Proportional to 148.06, 221.70 and 104.78

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Solution

The fourth proportional to 148.06, 221.70 and 104.78 is: 156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 221.70 = 104.78 : x
  2. Step 2: Convert to fraction form
    148.06/221.70 = 104.78/x
  3. Step 3: Cross multiply
    148.06x = 221.70 × 104.78
  4. Step 4: Simplify right side
    148.06x = 23,229.73
  5. Step 5: Solve for x
    x = 23,229.73/148.06
  6. Step 6: Final answer
    x = 156.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.