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Finding the Fourth Proportional to 149.54, 206.36 and 84.03

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Solution

The fourth proportional to 149.54, 206.36 and 84.03 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.54 : 206.36 = 84.03 : x
  2. Step 2: Convert to fraction form
    149.54/206.36 = 84.03/x
  3. Step 3: Cross multiply
    149.54x = 206.36 × 84.03
  4. Step 4: Simplify right side
    149.54x = 17,340.01
  5. Step 5: Solve for x
    x = 17,340.01/149.54
  6. Step 6: Final answer
    x = 115.96

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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.