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Finding the Fourth Proportional to 107.24, 159.93 and 105.41

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Solution

The fourth proportional to 107.24, 159.93 and 105.41 is: 157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.24 : 159.93 = 105.41 : x
  2. Step 2: Convert to fraction form
    107.24/159.93 = 105.41/x
  3. Step 3: Cross multiply
    107.24x = 159.93 × 105.41
  4. Step 4: Simplify right side
    107.24x = 16,858.62
  5. Step 5: Solve for x
    x = 16,858.62/107.24
  6. Step 6: Final answer
    x = 157.21

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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.