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Finding the Fourth Proportional to 83.19, 114.84 and 76.56

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Solution

The fourth proportional to 83.19, 114.84 and 76.56 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.19 : 114.84 = 76.56 : x
  2. Step 2: Convert to fraction form
    83.19/114.84 = 76.56/x
  3. Step 3: Cross multiply
    83.19x = 114.84 × 76.56
  4. Step 4: Simplify right side
    83.19x = 8,792.15
  5. Step 5: Solve for x
    x = 8,792.15/83.19
  6. Step 6: Final answer
    x = 105.69

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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.