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Finding the Fourth Proportional to 235.31, 353.01 and 81.23

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Solution

The fourth proportional to 235.31, 353.01 and 81.23 is: 121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.31 : 353.01 = 81.23 : x
  2. Step 2: Convert to fraction form
    235.31/353.01 = 81.23/x
  3. Step 3: Cross multiply
    235.31x = 353.01 × 81.23
  4. Step 4: Simplify right side
    235.31x = 28,675.00
  5. Step 5: Solve for x
    x = 28,675.00/235.31
  6. Step 6: Final answer
    x = 121.86

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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.