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Finding the Fourth Proportional to 126.08, 189.01 and 53.89

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Solution

The fourth proportional to 126.08, 189.01 and 53.89 is: 80.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.08 : 189.01 = 53.89 : x
  2. Step 2: Convert to fraction form
    126.08/189.01 = 53.89/x
  3. Step 3: Cross multiply
    126.08x = 189.01 × 53.89
  4. Step 4: Simplify right side
    126.08x = 10,185.14
  5. Step 5: Solve for x
    x = 10,185.14/126.08
  6. Step 6: Final answer
    x = 80.79

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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.