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Finding the Fourth Proportional to 105.26, 157.82 and 51.12

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Solution

The fourth proportional to 105.26, 157.82 and 51.12 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 157.82 = 51.12 : x
  2. Step 2: Convert to fraction form
    105.26/157.82 = 51.12/x
  3. Step 3: Cross multiply
    105.26x = 157.82 × 51.12
  4. Step 4: Simplify right side
    105.26x = 8,067.50
  5. Step 5: Solve for x
    x = 8,067.50/105.26
  6. Step 6: Final answer
    x = 76.65

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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.