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Finding the Fourth Proportional to 28.78, 39.64 and 25.86

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Solution

The fourth proportional to 28.78, 39.64 and 25.86 is: 35.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.78 : 39.64 = 25.86 : x
  2. Step 2: Convert to fraction form
    28.78/39.64 = 25.86/x
  3. Step 3: Cross multiply
    28.78x = 39.64 × 25.86
  4. Step 4: Simplify right side
    28.78x = 1,024.94
  5. Step 5: Solve for x
    x = 1,024.94/28.78
  6. Step 6: Final answer
    x = 35.61

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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.