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Finding the Fourth Proportional to 105.67, 145.75 and 82.33

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Solution

The fourth proportional to 105.67, 145.75 and 82.33 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 145.75 = 82.33 : x
  2. Step 2: Convert to fraction form
    105.67/145.75 = 82.33/x
  3. Step 3: Cross multiply
    105.67x = 145.75 × 82.33
  4. Step 4: Simplify right side
    105.67x = 12,000.00
  5. Step 5: Solve for x
    x = 12,000.00/105.67
  6. Step 6: Final answer
    x = 113.56

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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.