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Finding the Fourth Proportional to 149.49, 206.07 and 97.04

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Solution

The fourth proportional to 149.49, 206.07 and 97.04 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 206.07 = 97.04 : x
  2. Step 2: Convert to fraction form
    149.49/206.07 = 97.04/x
  3. Step 3: Cross multiply
    149.49x = 206.07 × 97.04
  4. Step 4: Simplify right side
    149.49x = 19,996.00
  5. Step 5: Solve for x
    x = 19,996.00/149.49
  6. Step 6: Final answer
    x = 133.76

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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.