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Finding the Fourth Proportional to 38.13, 57.16 and 18.84

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Solution

The fourth proportional to 38.13, 57.16 and 18.84 is: 28.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.13 : 57.16 = 18.84 : x
  2. Step 2: Convert to fraction form
    38.13/57.16 = 18.84/x
  3. Step 3: Cross multiply
    38.13x = 57.16 × 18.84
  4. Step 4: Simplify right side
    38.13x = 1,077.03
  5. Step 5: Solve for x
    x = 1,077.03/38.13
  6. Step 6: Final answer
    x = 28.25

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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.