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Finding the Fourth Proportional to 35.22, 53.09 and 33.26

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Solution

The fourth proportional to 35.22, 53.09 and 33.26 is: 50.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.22 : 53.09 = 33.26 : x
  2. Step 2: Convert to fraction form
    35.22/53.09 = 33.26/x
  3. Step 3: Cross multiply
    35.22x = 53.09 × 33.26
  4. Step 4: Simplify right side
    35.22x = 1,765.77
  5. Step 5: Solve for x
    x = 1,765.77/35.22
  6. Step 6: Final answer
    x = 50.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.