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Finding the Fourth Proportional to 30.80, 42.54 and 27.54

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Solution

The fourth proportional to 30.80, 42.54 and 27.54 is: 38.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 42.54 = 27.54 : x
  2. Step 2: Convert to fraction form
    30.80/42.54 = 27.54/x
  3. Step 3: Cross multiply
    30.80x = 42.54 × 27.54
  4. Step 4: Simplify right side
    30.80x = 1,171.55
  5. Step 5: Solve for x
    x = 1,171.55/30.80
  6. Step 6: Final answer
    x = 38.04

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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.