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Finding the Fourth Proportional to 82.98, 113.90 and 73.56

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Solution

The fourth proportional to 82.98, 113.90 and 73.56 is: 100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 113.90 = 73.56 : x
  2. Step 2: Convert to fraction form
    82.98/113.90 = 73.56/x
  3. Step 3: Cross multiply
    82.98x = 113.90 × 73.56
  4. Step 4: Simplify right side
    82.98x = 8,378.67
  5. Step 5: Solve for x
    x = 8,378.67/82.98
  6. Step 6: Final answer
    x = 100.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.