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Finding the Fourth Proportional to 77.57, 116.26 and 54.75

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Solution

The fourth proportional to 77.57, 116.26 and 54.75 is: 82.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.57 : 116.26 = 54.75 : x
  2. Step 2: Convert to fraction form
    77.57/116.26 = 54.75/x
  3. Step 3: Cross multiply
    77.57x = 116.26 × 54.75
  4. Step 4: Simplify right side
    77.57x = 6,365.24
  5. Step 5: Solve for x
    x = 6,365.24/77.57
  6. Step 6: Final answer
    x = 82.06

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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.