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Finding the Fourth Proportional to 149.32, 206.07 and 83.83

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Solution

The fourth proportional to 149.32, 206.07 and 83.83 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.32 : 206.07 = 83.83 : x
  2. Step 2: Convert to fraction form
    149.32/206.07 = 83.83/x
  3. Step 3: Cross multiply
    149.32x = 206.07 × 83.83
  4. Step 4: Simplify right side
    149.32x = 17,274.33
  5. Step 5: Solve for x
    x = 17,274.33/149.32
  6. Step 6: Final answer
    x = 115.69

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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.