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Finding the Fourth Proportional to 28.48, 42.36 and 27.64

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Solution

The fourth proportional to 28.48, 42.36 and 27.64 is: 41.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.48 : 42.36 = 27.64 : x
  2. Step 2: Convert to fraction form
    28.48/42.36 = 27.64/x
  3. Step 3: Cross multiply
    28.48x = 42.36 × 27.64
  4. Step 4: Simplify right side
    28.48x = 1,170.83
  5. Step 5: Solve for x
    x = 1,170.83/28.48
  6. Step 6: Final answer
    x = 41.11

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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.