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Finding the Fourth Proportional to 149.50, 206.30 and 83.11

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Solution

The fourth proportional to 149.50, 206.30 and 83.11 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 206.30 = 83.11 : x
  2. Step 2: Convert to fraction form
    149.50/206.30 = 83.11/x
  3. Step 3: Cross multiply
    149.50x = 206.30 × 83.11
  4. Step 4: Simplify right side
    149.50x = 17,145.59
  5. Step 5: Solve for x
    x = 17,145.59/149.50
  6. Step 6: Final answer
    x = 114.69

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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.