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Finding the Fourth Proportional to 107.14, 159.72 and 105.48

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Solution

The fourth proportional to 107.14, 159.72 and 105.48 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 159.72 = 105.48 : x
  2. Step 2: Convert to fraction form
    107.14/159.72 = 105.48/x
  3. Step 3: Cross multiply
    107.14x = 159.72 × 105.48
  4. Step 4: Simplify right side
    107.14x = 16,847.27
  5. Step 5: Solve for x
    x = 16,847.27/107.14
  6. Step 6: Final answer
    x = 157.25

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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.