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Finding the Fourth Proportional to 107.46, 161.33 and 67.05

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Solution

The fourth proportional to 107.46, 161.33 and 67.05 is: 100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.46 : 161.33 = 67.05 : x
  2. Step 2: Convert to fraction form
    107.46/161.33 = 67.05/x
  3. Step 3: Cross multiply
    107.46x = 161.33 × 67.05
  4. Step 4: Simplify right side
    107.46x = 10,816.84
  5. Step 5: Solve for x
    x = 10,816.84/107.46
  6. Step 6: Final answer
    x = 100.66

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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.