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Finding the Fourth Proportional to 54.94, 75.82 and 30.38

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Solution

The fourth proportional to 54.94, 75.82 and 30.38 is: 41.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.94 : 75.82 = 30.38 : x
  2. Step 2: Convert to fraction form
    54.94/75.82 = 30.38/x
  3. Step 3: Cross multiply
    54.94x = 75.82 × 30.38
  4. Step 4: Simplify right side
    54.94x = 2,303.44
  5. Step 5: Solve for x
    x = 2,303.44/54.94
  6. Step 6: Final answer
    x = 41.93

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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.