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Finding the Fourth Proportional to 149.70, 206.60 and 84.21

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Solution

The fourth proportional to 149.70, 206.60 and 84.21 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.70 : 206.60 = 84.21 : x
  2. Step 2: Convert to fraction form
    149.70/206.60 = 84.21/x
  3. Step 3: Cross multiply
    149.70x = 206.60 × 84.21
  4. Step 4: Simplify right side
    149.70x = 17,397.36
  5. Step 5: Solve for x
    x = 17,397.36/149.70
  6. Step 6: Final answer
    x = 116.21

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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.