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Finding the Fourth Proportional to 160.83, 222.09 and 105.63

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Solution

The fourth proportional to 160.83, 222.09 and 105.63 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.83 : 222.09 = 105.63 : x
  2. Step 2: Convert to fraction form
    160.83/222.09 = 105.63/x
  3. Step 3: Cross multiply
    160.83x = 222.09 × 105.63
  4. Step 4: Simplify right side
    160.83x = 23,459.37
  5. Step 5: Solve for x
    x = 23,459.37/160.83
  6. Step 6: Final answer
    x = 145.86

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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.