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Finding the Fourth Proportional to 85.72, 128.82 and 82.48

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Solution

The fourth proportional to 85.72, 128.82 and 82.48 is: 123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.72 : 128.82 = 82.48 : x
  2. Step 2: Convert to fraction form
    85.72/128.82 = 82.48/x
  3. Step 3: Cross multiply
    85.72x = 128.82 × 82.48
  4. Step 4: Simplify right side
    85.72x = 10,625.07
  5. Step 5: Solve for x
    x = 10,625.07/85.72
  6. Step 6: Final answer
    x = 123.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.