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Finding the Fourth Proportional to 83.26, 114.76 and 76.55

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Solution

The fourth proportional to 83.26, 114.76 and 76.55 is: 105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.26 : 114.76 = 76.55 : x
  2. Step 2: Convert to fraction form
    83.26/114.76 = 76.55/x
  3. Step 3: Cross multiply
    83.26x = 114.76 × 76.55
  4. Step 4: Simplify right side
    83.26x = 8,784.97
  5. Step 5: Solve for x
    x = 8,784.97/83.26
  6. Step 6: Final answer
    x = 105.52

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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.