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Finding the Fourth Proportional to 107.12, 160.20 and 105.20

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Solution

The fourth proportional to 107.12, 160.20 and 105.20 is: 157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.12 : 160.20 = 105.20 : x
  2. Step 2: Convert to fraction form
    107.12/160.20 = 105.20/x
  3. Step 3: Cross multiply
    107.12x = 160.20 × 105.20
  4. Step 4: Simplify right side
    107.12x = 16,853.04
  5. Step 5: Solve for x
    x = 16,853.04/107.12
  6. Step 6: Final answer
    x = 157.33

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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.