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Finding the Fourth Proportional to 105.31, 157.96 and 51.19

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Solution

The fourth proportional to 105.31, 157.96 and 51.19 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.31 : 157.96 = 51.19 : x
  2. Step 2: Convert to fraction form
    105.31/157.96 = 51.19/x
  3. Step 3: Cross multiply
    105.31x = 157.96 × 51.19
  4. Step 4: Simplify right side
    105.31x = 8,085.64
  5. Step 5: Solve for x
    x = 8,085.64/105.31
  6. Step 6: Final answer
    x = 76.78

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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.