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Finding the Fourth Proportional to 160.39, 221.42 and 105.22

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Solution

The fourth proportional to 160.39, 221.42 and 105.22 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.39 : 221.42 = 105.22 : x
  2. Step 2: Convert to fraction form
    160.39/221.42 = 105.22/x
  3. Step 3: Cross multiply
    160.39x = 221.42 × 105.22
  4. Step 4: Simplify right side
    160.39x = 23,296.97
  5. Step 5: Solve for x
    x = 23,296.97/160.39
  6. Step 6: Final answer
    x = 145.25

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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.