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Finding the Fourth Proportional to 149.14, 205.86 and 100

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Solution

The fourth proportional to 149.14, 205.86 and 100 is: 138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 205.86 = 100 : x
  2. Step 2: Convert to fraction form
    149.14/205.86 = 100/x
  3. Step 3: Cross multiply
    149.14x = 205.86 × 100
  4. Step 4: Simplify right side
    149.14x = 20,586
  5. Step 5: Solve for x
    x = 20,586/149.14
  6. Step 6: Final answer
    x = 138.03

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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.