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Finding the Fourth Proportional to 54.14, 74.71 and 30.82

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Solution

The fourth proportional to 54.14, 74.71 and 30.82 is: 42.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.14 : 74.71 = 30.82 : x
  2. Step 2: Convert to fraction form
    54.14/74.71 = 30.82/x
  3. Step 3: Cross multiply
    54.14x = 74.71 × 30.82
  4. Step 4: Simplify right side
    54.14x = 2,302.56
  5. Step 5: Solve for x
    x = 2,302.56/54.14
  6. Step 6: Final answer
    x = 42.53

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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.