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Finding the Fourth Proportional to 20.32, 28.00 and 13.76

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Solution

The fourth proportional to 20.32, 28.00 and 13.76 is: 18.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.32 : 28.00 = 13.76 : x
  2. Step 2: Convert to fraction form
    20.32/28.00 = 13.76/x
  3. Step 3: Cross multiply
    20.32x = 28.00 × 13.76
  4. Step 4: Simplify right side
    20.32x = 385.07
  5. Step 5: Solve for x
    x = 385.07/20.32
  6. Step 6: Final answer
    x = 18.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.