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Finding the Fourth Proportional to 28.96, 39.95 and 19.75

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Solution

The fourth proportional to 28.96, 39.95 and 19.75 is: 27.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.96 : 39.95 = 19.75 : x
  2. Step 2: Convert to fraction form
    28.96/39.95 = 19.75/x
  3. Step 3: Cross multiply
    28.96x = 39.95 × 19.75
  4. Step 4: Simplify right side
    28.96x = 788.96
  5. Step 5: Solve for x
    x = 788.96/28.96
  6. Step 6: Final answer
    x = 27.25

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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.