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Finding the Fourth Proportional to 35.26, 48.64 and 27.09

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Solution

The fourth proportional to 35.26, 48.64 and 27.09 is: 37.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.26 : 48.64 = 27.09 : x
  2. Step 2: Convert to fraction form
    35.26/48.64 = 27.09/x
  3. Step 3: Cross multiply
    35.26x = 48.64 × 27.09
  4. Step 4: Simplify right side
    35.26x = 1,317.66
  5. Step 5: Solve for x
    x = 1,317.66/35.26
  6. Step 6: Final answer
    x = 37.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.