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Finding the Fourth Proportional to 20.00, 27.65 and 17.95

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Solution

The fourth proportional to 20.00, 27.65 and 17.95 is: 24.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.00 : 27.65 = 17.95 : x
  2. Step 2: Convert to fraction form
    20.00/27.65 = 17.95/x
  3. Step 3: Cross multiply
    20.00x = 27.65 × 17.95
  4. Step 4: Simplify right side
    20.00x = 496.18
  5. Step 5: Solve for x
    x = 496.18/20.00
  6. Step 6: Final answer
    x = 24.81

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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.