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Finding the Fourth Proportional to 106.66, 146.82 and 94.36

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Solution

The fourth proportional to 106.66, 146.82 and 94.36 is: 129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.66 : 146.82 = 94.36 : x
  2. Step 2: Convert to fraction form
    106.66/146.82 = 94.36/x
  3. Step 3: Cross multiply
    106.66x = 146.82 × 94.36
  4. Step 4: Simplify right side
    106.66x = 13,853.94
  5. Step 5: Solve for x
    x = 13,853.94/106.66
  6. Step 6: Final answer
    x = 129.89

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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.