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Finding the Fourth Proportional to 149.61, 206.45 and 83.22

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Solution

The fourth proportional to 149.61, 206.45 and 83.22 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.61 : 206.45 = 83.22 : x
  2. Step 2: Convert to fraction form
    149.61/206.45 = 83.22/x
  3. Step 3: Cross multiply
    149.61x = 206.45 × 83.22
  4. Step 4: Simplify right side
    149.61x = 17,180.35
  5. Step 5: Solve for x
    x = 17,180.35/149.61
  6. Step 6: Final answer
    x = 114.83

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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.