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Finding the Fourth Proportional to 38.66, 57.99 and 32.69

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Solution

The fourth proportional to 38.66, 57.99 and 32.69 is: 49.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.66 : 57.99 = 32.69 : x
  2. Step 2: Convert to fraction form
    38.66/57.99 = 32.69/x
  3. Step 3: Cross multiply
    38.66x = 57.99 × 32.69
  4. Step 4: Simplify right side
    38.66x = 1,895.40
  5. Step 5: Solve for x
    x = 1,895.40/38.66
  6. Step 6: Final answer
    x = 49.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.