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Finding the Fourth Proportional to 82.97, 114.36 and 78.27

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Solution

The fourth proportional to 82.97, 114.36 and 78.27 is: 107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.97 : 114.36 = 78.27 : x
  2. Step 2: Convert to fraction form
    82.97/114.36 = 78.27/x
  3. Step 3: Cross multiply
    82.97x = 114.36 × 78.27
  4. Step 4: Simplify right side
    82.97x = 8,950.68
  5. Step 5: Solve for x
    x = 8,950.68/82.97
  6. Step 6: Final answer
    x = 107.87

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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.