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Finding the Fourth Proportional to 106.38, 146.77 and 67.03

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Solution

The fourth proportional to 106.38, 146.77 and 67.03 is: 92.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 146.77 = 67.03 : x
  2. Step 2: Convert to fraction form
    106.38/146.77 = 67.03/x
  3. Step 3: Cross multiply
    106.38x = 146.77 × 67.03
  4. Step 4: Simplify right side
    106.38x = 9,837.99
  5. Step 5: Solve for x
    x = 9,837.99/106.38
  6. Step 6: Final answer
    x = 92.48

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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.