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Finding the Fourth Proportional to 160.00, 220.46 and 122.60

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Solution

The fourth proportional to 160.00, 220.46 and 122.60 is: 168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.00 : 220.46 = 122.60 : x
  2. Step 2: Convert to fraction form
    160.00/220.46 = 122.60/x
  3. Step 3: Cross multiply
    160.00x = 220.46 × 122.60
  4. Step 4: Simplify right side
    160.00x = 27,028.33
  5. Step 5: Solve for x
    x = 27,028.33/160.00
  6. Step 6: Final answer
    x = 168.93

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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.