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Finding the Fourth Proportional to 85.41, 128.09 and 24.53

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Solution

The fourth proportional to 85.41, 128.09 and 24.53 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.41 : 128.09 = 24.53 : x
  2. Step 2: Convert to fraction form
    85.41/128.09 = 24.53/x
  3. Step 3: Cross multiply
    85.41x = 128.09 × 24.53
  4. Step 4: Simplify right side
    85.41x = 3,141.47
  5. Step 5: Solve for x
    x = 3,141.47/85.41
  6. Step 6: Final answer
    x = 36.78

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Why These Related Problems?

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