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Finding the Fourth Proportional to 82.30, 113.61 and 67.54

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Solution

The fourth proportional to 82.30, 113.61 and 67.54 is: 93.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.30 : 113.61 = 67.54 : x
  2. Step 2: Convert to fraction form
    82.30/113.61 = 67.54/x
  3. Step 3: Cross multiply
    82.30x = 113.61 × 67.54
  4. Step 4: Simplify right side
    82.30x = 7,673.22
  5. Step 5: Solve for x
    x = 7,673.22/82.30
  6. Step 6: Final answer
    x = 93.23

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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.