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Finding the Fourth Proportional to 148.97, 223.38 and 61.09

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Solution

The fourth proportional to 148.97, 223.38 and 61.09 is: 91.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 223.38 = 61.09 : x
  2. Step 2: Convert to fraction form
    148.97/223.38 = 61.09/x
  3. Step 3: Cross multiply
    148.97x = 223.38 × 61.09
  4. Step 4: Simplify right side
    148.97x = 13,645.73
  5. Step 5: Solve for x
    x = 13,645.73/148.97
  6. Step 6: Final answer
    x = 91.60

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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.