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Finding the Fourth Proportional to 85.54, 128.30 and 39.94

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Solution

The fourth proportional to 85.54, 128.30 and 39.94 is: 59.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.54 : 128.30 = 39.94 : x
  2. Step 2: Convert to fraction form
    85.54/128.30 = 39.94/x
  3. Step 3: Cross multiply
    85.54x = 128.30 × 39.94
  4. Step 4: Simplify right side
    85.54x = 5,124.56
  5. Step 5: Solve for x
    x = 5,124.56/85.54
  6. Step 6: Final answer
    x = 59.91

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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.