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Finding the Fourth Proportional to 149.36, 206.04 and 83.84

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Solution

The fourth proportional to 149.36, 206.04 and 83.84 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.36 : 206.04 = 83.84 : x
  2. Step 2: Convert to fraction form
    149.36/206.04 = 83.84/x
  3. Step 3: Cross multiply
    149.36x = 206.04 × 83.84
  4. Step 4: Simplify right side
    149.36x = 17,274.91
  5. Step 5: Solve for x
    x = 17,274.91/149.36
  6. Step 6: Final answer
    x = 115.66

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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.