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Finding the Fourth Proportional to 149.57, 206.42 and 84.09

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Solution

The fourth proportional to 149.57, 206.42 and 84.09 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.57 : 206.42 = 84.09 : x
  2. Step 2: Convert to fraction form
    149.57/206.42 = 84.09/x
  3. Step 3: Cross multiply
    149.57x = 206.42 × 84.09
  4. Step 4: Simplify right side
    149.57x = 17,357.86
  5. Step 5: Solve for x
    x = 17,357.86/149.57
  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.