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Finding the Fourth Proportional to 28.26, 42 and 28.02

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Solution

The fourth proportional to 28.26, 42 and 28.02 is: 41.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.26 : 42 = 28.02 : x
  2. Step 2: Convert to fraction form
    28.26/42 = 28.02/x
  3. Step 3: Cross multiply
    28.26x = 42 × 28.02
  4. Step 4: Simplify right side
    28.26x = 1,176.84
  5. Step 5: Solve for x
    x = 1,176.84/28.26
  6. Step 6: Final answer
    x = 41.64

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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.