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Finding the Fourth Proportional to 82.23, 113.36 and 57.69

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Solution

The fourth proportional to 82.23, 113.36 and 57.69 is: 79.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 113.36 = 57.69 : x
  2. Step 2: Convert to fraction form
    82.23/113.36 = 57.69/x
  3. Step 3: Cross multiply
    82.23x = 113.36 × 57.69
  4. Step 4: Simplify right side
    82.23x = 6,539.45
  5. Step 5: Solve for x
    x = 6,539.45/82.23
  6. Step 6: Final answer
    x = 79.53

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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.