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Finding the Fourth Proportional to 54.12, 74.67 and 30.79

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Solution

The fourth proportional to 54.12, 74.67 and 30.79 is: 42.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.12 : 74.67 = 30.79 : x
  2. Step 2: Convert to fraction form
    54.12/74.67 = 30.79/x
  3. Step 3: Cross multiply
    54.12x = 74.67 × 30.79
  4. Step 4: Simplify right side
    54.12x = 2,299.18
  5. Step 5: Solve for x
    x = 2,299.18/54.12
  6. Step 6: Final answer
    x = 42.49

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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.