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Finding the Fourth Proportional to 106.63, 146.99 and 84.46

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Solution

The fourth proportional to 106.63, 146.99 and 84.46 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 146.99 = 84.46 : x
  2. Step 2: Convert to fraction form
    106.63/146.99 = 84.46/x
  3. Step 3: Cross multiply
    106.63x = 146.99 × 84.46
  4. Step 4: Simplify right side
    106.63x = 12,414.78
  5. Step 5: Solve for x
    x = 12,414.78/106.63
  6. Step 6: Final answer
    x = 116.43

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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.