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Finding the Fourth Proportional to 81.53, 122.29 and 57.59

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Solution

The fourth proportional to 81.53, 122.29 and 57.59 is: 86.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.53 : 122.29 = 57.59 : x
  2. Step 2: Convert to fraction form
    81.53/122.29 = 57.59/x
  3. Step 3: Cross multiply
    81.53x = 122.29 × 57.59
  4. Step 4: Simplify right side
    81.53x = 7,042.68
  5. Step 5: Solve for x
    x = 7,042.68/81.53
  6. Step 6: Final answer
    x = 86.38

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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.