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Finding the Fourth Proportional to 149.55, 206.38 and 84.05

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Solution

The fourth proportional to 149.55, 206.38 and 84.05 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 206.38 = 84.05 : x
  2. Step 2: Convert to fraction form
    149.55/206.38 = 84.05/x
  3. Step 3: Cross multiply
    149.55x = 206.38 × 84.05
  4. Step 4: Simplify right side
    149.55x = 17,346.24
  5. Step 5: Solve for x
    x = 17,346.24/149.55
  6. Step 6: Final answer
    x = 115.99

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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.