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Finding the Fourth Proportional to 107.96, 150.02 and 106.84

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Solution

The fourth proportional to 107.96, 150.02 and 106.84 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.96 : 150.02 = 106.84 : x
  2. Step 2: Convert to fraction form
    107.96/150.02 = 106.84/x
  3. Step 3: Cross multiply
    107.96x = 150.02 × 106.84
  4. Step 4: Simplify right side
    107.96x = 16,028.14
  5. Step 5: Solve for x
    x = 16,028.14/107.96
  6. Step 6: Final answer
    x = 148.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.