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Finding the Fourth Proportional to 90.75, 125.26 and 61.29

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Solution

The fourth proportional to 90.75, 125.26 and 61.29 is: 84.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 125.26 = 61.29 : x
  2. Step 2: Convert to fraction form
    90.75/125.26 = 61.29/x
  3. Step 3: Cross multiply
    90.75x = 125.26 × 61.29
  4. Step 4: Simplify right side
    90.75x = 7,676.56
  5. Step 5: Solve for x
    x = 7,676.56/90.75
  6. Step 6: Final answer
    x = 84.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.