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Finding the Fourth Proportional to 126.08, 189.09 and 43.80

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Solution

The fourth proportional to 126.08, 189.09 and 43.80 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.08 : 189.09 = 43.80 : x
  2. Step 2: Convert to fraction form
    126.08/189.09 = 43.80/x
  3. Step 3: Cross multiply
    126.08x = 189.09 × 43.80
  4. Step 4: Simplify right side
    126.08x = 8,282.14
  5. Step 5: Solve for x
    x = 8,282.14/126.08
  6. Step 6: Final answer
    x = 65.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.