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Finding the Fourth Proportional to 85.82, 128.77 and 34.46

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Solution

The fourth proportional to 85.82, 128.77 and 34.46 is: 51.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.82 : 128.77 = 34.46 : x
  2. Step 2: Convert to fraction form
    85.82/128.77 = 34.46/x
  3. Step 3: Cross multiply
    85.82x = 128.77 × 34.46
  4. Step 4: Simplify right side
    85.82x = 4,437.36
  5. Step 5: Solve for x
    x = 4,437.36/85.82
  6. Step 6: Final answer
    x = 51.71

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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.