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Finding the Fourth Proportional to 90.77, 125.16 and 80.42

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Solution

The fourth proportional to 90.77, 125.16 and 80.42 is: 110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.77 : 125.16 = 80.42 : x
  2. Step 2: Convert to fraction form
    90.77/125.16 = 80.42/x
  3. Step 3: Cross multiply
    90.77x = 125.16 × 80.42
  4. Step 4: Simplify right side
    90.77x = 10,065.37
  5. Step 5: Solve for x
    x = 10,065.37/90.77
  6. Step 6: Final answer
    x = 110.89

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