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Finding the Fourth Proportional to 54.65, 75.41 and 30.09

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Solution

The fourth proportional to 54.65, 75.41 and 30.09 is: 41.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.65 : 75.41 = 30.09 : x
  2. Step 2: Convert to fraction form
    54.65/75.41 = 30.09/x
  3. Step 3: Cross multiply
    54.65x = 75.41 × 30.09
  4. Step 4: Simplify right side
    54.65x = 2,268.95
  5. Step 5: Solve for x
    x = 2,268.95/54.65
  6. Step 6: Final answer
    x = 41.52

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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.