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Finding the Fourth Proportional to 149.48, 206.22 and 83.96

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Solution

The fourth proportional to 149.48, 206.22 and 83.96 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.48 : 206.22 = 83.96 : x
  2. Step 2: Convert to fraction form
    149.48/206.22 = 83.96/x
  3. Step 3: Cross multiply
    149.48x = 206.22 × 83.96
  4. Step 4: Simplify right side
    149.48x = 17,314.23
  5. Step 5: Solve for x
    x = 17,314.23/149.48
  6. Step 6: Final answer
    x = 115.83

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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.