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Finding the Fourth Proportional to 106.34, 146.81 and 67.05

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Solution

The fourth proportional to 106.34, 146.81 and 67.05 is: 92.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 146.81 = 67.05 : x
  2. Step 2: Convert to fraction form
    106.34/146.81 = 67.05/x
  3. Step 3: Cross multiply
    106.34x = 146.81 × 67.05
  4. Step 4: Simplify right side
    106.34x = 9,842.88
  5. Step 5: Solve for x
    x = 9,842.88/106.34
  6. Step 6: Final answer
    x = 92.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.