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Finding the Fourth Proportional to 149.31, 206.03 and 83.81

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Solution

The fourth proportional to 149.31, 206.03 and 83.81 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.31 : 206.03 = 83.81 : x
  2. Step 2: Convert to fraction form
    149.31/206.03 = 83.81/x
  3. Step 3: Cross multiply
    149.31x = 206.03 × 83.81
  4. Step 4: Simplify right side
    149.31x = 17,265.93
  5. Step 5: Solve for x
    x = 17,265.93/149.31
  6. Step 6: Final answer
    x = 115.64

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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.