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Finding the Fourth Proportional to 54.93, 82.33 and 30.54

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Solution

The fourth proportional to 54.93, 82.33 and 30.54 is: 45.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.93 : 82.33 = 30.54 : x
  2. Step 2: Convert to fraction form
    54.93/82.33 = 30.54/x
  3. Step 3: Cross multiply
    54.93x = 82.33 × 30.54
  4. Step 4: Simplify right side
    54.93x = 2,514.36
  5. Step 5: Solve for x
    x = 2,514.36/54.93
  6. Step 6: Final answer
    x = 45.77

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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.