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Finding the Fourth Proportional to 149.81, 206.81 and 97.97

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Solution

The fourth proportional to 149.81, 206.81 and 97.97 is: 135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.81 : 206.81 = 97.97 : x
  2. Step 2: Convert to fraction form
    149.81/206.81 = 97.97/x
  3. Step 3: Cross multiply
    149.81x = 206.81 × 97.97
  4. Step 4: Simplify right side
    149.81x = 20,261.18
  5. Step 5: Solve for x
    x = 20,261.18/149.81
  6. Step 6: Final answer
    x = 135.25

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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.