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Finding the Fourth Proportional to 39.24, 59.21 and 38.84

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Solution

The fourth proportional to 39.24, 59.21 and 38.84 is: 58.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.24 : 59.21 = 38.84 : x
  2. Step 2: Convert to fraction form
    39.24/59.21 = 38.84/x
  3. Step 3: Cross multiply
    39.24x = 59.21 × 38.84
  4. Step 4: Simplify right side
    39.24x = 2,299.23
  5. Step 5: Solve for x
    x = 2,299.23/39.24
  6. Step 6: Final answer
    x = 58.59

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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.