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Finding the Fourth Proportional to 259.69, 389.54 and 67.31

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Solution

The fourth proportional to 259.69, 389.54 and 67.31 is: 100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.69 : 389.54 = 67.31 : x
  2. Step 2: Convert to fraction form
    259.69/389.54 = 67.31/x
  3. Step 3: Cross multiply
    259.69x = 389.54 × 67.31
  4. Step 4: Simplify right side
    259.69x = 26,220.57
  5. Step 5: Solve for x
    x = 26,220.57/259.69
  6. Step 6: Final answer
    x = 100.97

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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.