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Finding the Fourth Proportional to 77.43, 116.04 and 54.55

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Solution

The fourth proportional to 77.43, 116.04 and 54.55 is: 81.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.43 : 116.04 = 54.55 : x
  2. Step 2: Convert to fraction form
    77.43/116.04 = 54.55/x
  3. Step 3: Cross multiply
    77.43x = 116.04 × 54.55
  4. Step 4: Simplify right side
    77.43x = 6,329.98
  5. Step 5: Solve for x
    x = 6,329.98/77.43
  6. Step 6: Final answer
    x = 81.75

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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.