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Finding the Fourth Proportional to 77.50, 107.03 and 54.46

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Solution

The fourth proportional to 77.50, 107.03 and 54.46 is: 75.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.50 : 107.03 = 54.46 : x
  2. Step 2: Convert to fraction form
    77.50/107.03 = 54.46/x
  3. Step 3: Cross multiply
    77.50x = 107.03 × 54.46
  4. Step 4: Simplify right side
    77.50x = 5,828.85
  5. Step 5: Solve for x
    x = 5,828.85/77.50
  6. Step 6: Final answer
    x = 75.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.