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Finding the Fourth Proportional to 144.23, 199.05 and 91.78

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Solution

The fourth proportional to 144.23, 199.05 and 91.78 is: 126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 199.05 = 91.78 : x
  2. Step 2: Convert to fraction form
    144.23/199.05 = 91.78/x
  3. Step 3: Cross multiply
    144.23x = 199.05 × 91.78
  4. Step 4: Simplify right side
    144.23x = 18,268.31
  5. Step 5: Solve for x
    x = 18,268.31/144.23
  6. Step 6: Final answer
    x = 126.67

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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.