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Finding the Fourth Proportional to 38.54, 58.18 and 38.34

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Solution

The fourth proportional to 38.54, 58.18 and 38.34 is: 57.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.54 : 58.18 = 38.34 : x
  2. Step 2: Convert to fraction form
    38.54/58.18 = 38.34/x
  3. Step 3: Cross multiply
    38.54x = 58.18 × 38.34
  4. Step 4: Simplify right side
    38.54x = 2,230.53
  5. Step 5: Solve for x
    x = 2,230.53/38.54
  6. Step 6: Final answer
    x = 57.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.