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Finding the Fourth Proportional to 105.75, 158.56 and 75.24

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Solution

The fourth proportional to 105.75, 158.56 and 75.24 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 158.56 = 75.24 : x
  2. Step 2: Convert to fraction form
    105.75/158.56 = 75.24/x
  3. Step 3: Cross multiply
    105.75x = 158.56 × 75.24
  4. Step 4: Simplify right side
    105.75x = 11,929.87
  5. Step 5: Solve for x
    x = 11,929.87/105.75
  6. Step 6: Final answer
    x = 112.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.