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Finding the Fourth Proportional to 54.99, 82.40 and 51.75

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Solution

The fourth proportional to 54.99, 82.40 and 51.75 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.99 : 82.40 = 51.75 : x
  2. Step 2: Convert to fraction form
    54.99/82.40 = 51.75/x
  3. Step 3: Cross multiply
    54.99x = 82.40 × 51.75
  4. Step 4: Simplify right side
    54.99x = 4,263.94
  5. Step 5: Solve for x
    x = 4,263.94/54.99
  6. Step 6: Final answer
    x = 77.54

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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.