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Finding the Fourth Proportional to 77.80, 116.46 and 54.90

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Solution

The fourth proportional to 77.80, 116.46 and 54.90 is: 82.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.80 : 116.46 = 54.90 : x
  2. Step 2: Convert to fraction form
    77.80/116.46 = 54.90/x
  3. Step 3: Cross multiply
    77.80x = 116.46 × 54.90
  4. Step 4: Simplify right side
    77.80x = 6,393.65
  5. Step 5: Solve for x
    x = 6,393.65/77.80
  6. Step 6: Final answer
    x = 82.18

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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.