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Finding the Fourth Proportional to 235.49, 353.03 and 81.31

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Solution

The fourth proportional to 235.49, 353.03 and 81.31 is: 121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.49 : 353.03 = 81.31 : x
  2. Step 2: Convert to fraction form
    235.49/353.03 = 81.31/x
  3. Step 3: Cross multiply
    235.49x = 353.03 × 81.31
  4. Step 4: Simplify right side
    235.49x = 28,703.58
  5. Step 5: Solve for x
    x = 28,703.58/235.49
  6. Step 6: Final answer
    x = 121.89

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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.