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Finding the Fourth Proportional to 28.78, 42.86 and 28.16

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Solution

The fourth proportional to 28.78, 42.86 and 28.16 is: 41.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.78 : 42.86 = 28.16 : x
  2. Step 2: Convert to fraction form
    28.78/42.86 = 28.16/x
  3. Step 3: Cross multiply
    28.78x = 42.86 × 28.16
  4. Step 4: Simplify right side
    28.78x = 1,206.94
  5. Step 5: Solve for x
    x = 1,206.94/28.78
  6. Step 6: Final answer
    x = 41.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.