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Finding the Fourth Proportional to 77.68, 116.27 and 54.89

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Solution

The fourth proportional to 77.68, 116.27 and 54.89 is: 82.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 116.27 = 54.89 : x
  2. Step 2: Convert to fraction form
    77.68/116.27 = 54.89/x
  3. Step 3: Cross multiply
    77.68x = 116.27 × 54.89
  4. Step 4: Simplify right side
    77.68x = 6,382.06
  5. Step 5: Solve for x
    x = 6,382.06/77.68
  6. Step 6: Final answer
    x = 82.16

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Why These Related Problems?

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