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Finding the Fourth Proportional to 38.66, 57.98 and 14.28

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Solution

The fourth proportional to 38.66, 57.98 and 14.28 is: 21.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.66 : 57.98 = 14.28 : x
  2. Step 2: Convert to fraction form
    38.66/57.98 = 14.28/x
  3. Step 3: Cross multiply
    38.66x = 57.98 × 14.28
  4. Step 4: Simplify right side
    38.66x = 827.95
  5. Step 5: Solve for x
    x = 827.95/38.66
  6. Step 6: Final answer
    x = 21.42

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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.