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Finding the Fourth Proportional to 70.26, 105.42 and 27.50

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Solution

The fourth proportional to 70.26, 105.42 and 27.50 is: 41.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.26 : 105.42 = 27.50 : x
  2. Step 2: Convert to fraction form
    70.26/105.42 = 27.50/x
  3. Step 3: Cross multiply
    70.26x = 105.42 × 27.50
  4. Step 4: Simplify right side
    70.26x = 2,899.05
  5. Step 5: Solve for x
    x = 2,899.05/70.26
  6. Step 6: Final answer
    x = 41.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.