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Finding the Fourth Proportional to 107.41, 159.77 and 105.79

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Solution

The fourth proportional to 107.41, 159.77 and 105.79 is: 157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.41 : 159.77 = 105.79 : x
  2. Step 2: Convert to fraction form
    107.41/159.77 = 105.79/x
  3. Step 3: Cross multiply
    107.41x = 159.77 × 105.79
  4. Step 4: Simplify right side
    107.41x = 16,902.07
  5. Step 5: Solve for x
    x = 16,902.07/107.41
  6. Step 6: Final answer
    x = 157.36

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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.