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Finding the Fourth Proportional to 77.70, 116.41 and 54.82

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Solution

The fourth proportional to 77.70, 116.41 and 54.82 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.70 : 116.41 = 54.82 : x
  2. Step 2: Convert to fraction form
    77.70/116.41 = 54.82/x
  3. Step 3: Cross multiply
    77.70x = 116.41 × 54.82
  4. Step 4: Simplify right side
    77.70x = 6,381.60
  5. Step 5: Solve for x
    x = 6,381.60/77.70
  6. Step 6: Final answer
    x = 82.14

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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.