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Finding the Fourth Proportional to 160.44, 221.37 and 107.99

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Solution

The fourth proportional to 160.44, 221.37 and 107.99 is: 149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 221.37 = 107.99 : x
  2. Step 2: Convert to fraction form
    160.44/221.37 = 107.99/x
  3. Step 3: Cross multiply
    160.44x = 221.37 × 107.99
  4. Step 4: Simplify right side
    160.44x = 23,905.75
  5. Step 5: Solve for x
    x = 23,905.75/160.44
  6. Step 6: Final answer
    x = 149.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.