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Finding the Fourth Proportional to 83.20, 114.63 and 69.31

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Solution

The fourth proportional to 83.20, 114.63 and 69.31 is: 95.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.20 : 114.63 = 69.31 : x
  2. Step 2: Convert to fraction form
    83.20/114.63 = 69.31/x
  3. Step 3: Cross multiply
    83.20x = 114.63 × 69.31
  4. Step 4: Simplify right side
    83.20x = 7,945.01
  5. Step 5: Solve for x
    x = 7,945.01/83.20
  6. Step 6: Final answer
    x = 95.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.