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Finding the Fourth Proportional to 149.75, 206.62 and 84.24

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Solution

The fourth proportional to 149.75, 206.62 and 84.24 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 206.62 = 84.24 : x
  2. Step 2: Convert to fraction form
    149.75/206.62 = 84.24/x
  3. Step 3: Cross multiply
    149.75x = 206.62 × 84.24
  4. Step 4: Simplify right side
    149.75x = 17,405.67
  5. Step 5: Solve for x
    x = 17,405.67/149.75
  6. Step 6: Final answer
    x = 116.23

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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.