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Finding the Fourth Proportional to 40.26, 60.47 and 34.25

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Solution

The fourth proportional to 40.26, 60.47 and 34.25 is: 51.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.26 : 60.47 = 34.25 : x
  2. Step 2: Convert to fraction form
    40.26/60.47 = 34.25/x
  3. Step 3: Cross multiply
    40.26x = 60.47 × 34.25
  4. Step 4: Simplify right side
    40.26x = 2,070.62
  5. Step 5: Solve for x
    x = 2,070.62/40.26
  6. Step 6: Final answer
    x = 51.43

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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.