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Finding the Fourth Proportional to 38.42, 52.95 and 30.20

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Solution

The fourth proportional to 38.42, 52.95 and 30.20 is: 41.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.42 : 52.95 = 30.20 : x
  2. Step 2: Convert to fraction form
    38.42/52.95 = 30.20/x
  3. Step 3: Cross multiply
    38.42x = 52.95 × 30.20
  4. Step 4: Simplify right side
    38.42x = 1,599.09
  5. Step 5: Solve for x
    x = 1,599.09/38.42
  6. Step 6: Final answer
    x = 41.62

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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.