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Finding the Fourth Proportional to 105.75, 157.77 and 104.94

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Solution

The fourth proportional to 105.75, 157.77 and 104.94 is: 156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 157.77 = 104.94 : x
  2. Step 2: Convert to fraction form
    105.75/157.77 = 104.94/x
  3. Step 3: Cross multiply
    105.75x = 157.77 × 104.94
  4. Step 4: Simplify right side
    105.75x = 16,556.38
  5. Step 5: Solve for x
    x = 16,556.38/105.75
  6. Step 6: Final answer
    x = 156.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.