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Finding the Fourth Proportional to 107.98, 162.20 and 104.94

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Solution

The fourth proportional to 107.98, 162.20 and 104.94 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.98 : 162.20 = 104.94 : x
  2. Step 2: Convert to fraction form
    107.98/162.20 = 104.94/x
  3. Step 3: Cross multiply
    107.98x = 162.20 × 104.94
  4. Step 4: Simplify right side
    107.98x = 17,021.53
  5. Step 5: Solve for x
    x = 17,021.53/107.98
  6. Step 6: Final answer
    x = 157.64

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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.