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Finding the Fourth Proportional to 38.30, 52.80 and 30.14

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Solution

The fourth proportional to 38.30, 52.80 and 30.14 is: 41.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.30 : 52.80 = 30.14 : x
  2. Step 2: Convert to fraction form
    38.30/52.80 = 30.14/x
  3. Step 3: Cross multiply
    38.30x = 52.80 × 30.14
  4. Step 4: Simplify right side
    38.30x = 1,591.39
  5. Step 5: Solve for x
    x = 1,591.39/38.30
  6. Step 6: Final answer
    x = 41.55

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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.