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Finding the Fourth Proportional to 149.16, 205.86 and 83.67

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Solution

The fourth proportional to 149.16, 205.86 and 83.67 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 205.86 = 83.67 : x
  2. Step 2: Convert to fraction form
    149.16/205.86 = 83.67/x
  3. Step 3: Cross multiply
    149.16x = 205.86 × 83.67
  4. Step 4: Simplify right side
    149.16x = 17,224.54
  5. Step 5: Solve for x
    x = 17,224.54/149.16
  6. Step 6: Final answer
    x = 115.47

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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.