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Finding the Fourth Proportional to 149.59, 206.46 and 84.09

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Solution

The fourth proportional to 149.59, 206.46 and 84.09 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.59 : 206.46 = 84.09 : x
  2. Step 2: Convert to fraction form
    149.59/206.46 = 84.09/x
  3. Step 3: Cross multiply
    149.59x = 206.46 × 84.09
  4. Step 4: Simplify right side
    149.59x = 17,359.87
  5. Step 5: Solve for x
    x = 17,359.87/149.59
  6. Step 6: Final answer
    x = 116.05

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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.