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Finding the Fourth Proportional to 82.23, 113.43 and 65.79

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Solution

The fourth proportional to 82.23, 113.43 and 65.79 is: 90.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 113.43 = 65.79 : x
  2. Step 2: Convert to fraction form
    82.23/113.43 = 65.79/x
  3. Step 3: Cross multiply
    82.23x = 113.43 × 65.79
  4. Step 4: Simplify right side
    82.23x = 7,462.56
  5. Step 5: Solve for x
    x = 7,462.56/82.23
  6. Step 6: Final answer
    x = 90.75

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