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Finding the Fourth Proportional to 84.15, 115.94 and 80.28

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Solution

The fourth proportional to 84.15, 115.94 and 80.28 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.15 : 115.94 = 80.28 : x
  2. Step 2: Convert to fraction form
    84.15/115.94 = 80.28/x
  3. Step 3: Cross multiply
    84.15x = 115.94 × 80.28
  4. Step 4: Simplify right side
    84.15x = 9,307.26
  5. Step 5: Solve for x
    x = 9,307.26/84.15
  6. Step 6: Final answer
    x = 110.60

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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.