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Finding the Fourth Proportional to 85.81, 128.68 and 24.95

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Solution

The fourth proportional to 85.81, 128.68 and 24.95 is: 37.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.81 : 128.68 = 24.95 : x
  2. Step 2: Convert to fraction form
    85.81/128.68 = 24.95/x
  3. Step 3: Cross multiply
    85.81x = 128.68 × 24.95
  4. Step 4: Simplify right side
    85.81x = 3,209.89
  5. Step 5: Solve for x
    x = 3,209.89/85.81
  6. Step 6: Final answer
    x = 37.41

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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.