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Finding the Fourth Proportional to 82.28, 113.42 and 71.82

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Solution

The fourth proportional to 82.28, 113.42 and 71.82 is: 99.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 113.42 = 71.82 : x
  2. Step 2: Convert to fraction form
    82.28/113.42 = 71.82/x
  3. Step 3: Cross multiply
    82.28x = 113.42 × 71.82
  4. Step 4: Simplify right side
    82.28x = 8,146.00
  5. Step 5: Solve for x
    x = 8,146.00/82.28
  6. Step 6: Final answer
    x = 99.00

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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.