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Finding the Fourth Proportional to 106.47, 146.89 and 67.11

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Solution

The fourth proportional to 106.47, 146.89 and 67.11 is: 92.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 146.89 = 67.11 : x
  2. Step 2: Convert to fraction form
    106.47/146.89 = 67.11/x
  3. Step 3: Cross multiply
    106.47x = 146.89 × 67.11
  4. Step 4: Simplify right side
    106.47x = 9,857.79
  5. Step 5: Solve for x
    x = 9,857.79/106.47
  6. Step 6: Final answer
    x = 92.59

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