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Finding the Fourth Proportional to 105.28, 157.84 and 51.22

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Solution

The fourth proportional to 105.28, 157.84 and 51.22 is: 76.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 157.84 = 51.22 : x
  2. Step 2: Convert to fraction form
    105.28/157.84 = 51.22/x
  3. Step 3: Cross multiply
    105.28x = 157.84 × 51.22
  4. Step 4: Simplify right side
    105.28x = 8,084.56
  5. Step 5: Solve for x
    x = 8,084.56/105.28
  6. Step 6: Final answer
    x = 76.79

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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.