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Finding the Fourth Proportional to 35.31, 52.89 and 22.94

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Solution

The fourth proportional to 35.31, 52.89 and 22.94 is: 34.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 52.89 = 22.94 : x
  2. Step 2: Convert to fraction form
    35.31/52.89 = 22.94/x
  3. Step 3: Cross multiply
    35.31x = 52.89 × 22.94
  4. Step 4: Simplify right side
    35.31x = 1,213.30
  5. Step 5: Solve for x
    x = 1,213.30/35.31
  6. Step 6: Final answer
    x = 34.36

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