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Finding the Fourth Proportional to 82.72, 113.82 and 65.98

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Solution

The fourth proportional to 82.72, 113.82 and 65.98 is: 90.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 113.82 = 65.98 : x
  2. Step 2: Convert to fraction form
    82.72/113.82 = 65.98/x
  3. Step 3: Cross multiply
    82.72x = 113.82 × 65.98
  4. Step 4: Simplify right side
    82.72x = 7,509.27
  5. Step 5: Solve for x
    x = 7,509.27/82.72
  6. Step 6: Final answer
    x = 90.78

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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.