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Finding the Fourth Proportional to 160.14, 221.07 and 107.75

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Solution

The fourth proportional to 160.14, 221.07 and 107.75 is: 148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 221.07 = 107.75 : x
  2. Step 2: Convert to fraction form
    160.14/221.07 = 107.75/x
  3. Step 3: Cross multiply
    160.14x = 221.07 × 107.75
  4. Step 4: Simplify right side
    160.14x = 23,819.19
  5. Step 5: Solve for x
    x = 23,819.19/160.14
  6. Step 6: Final answer
    x = 148.74

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Why These Related Problems?

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