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Finding the Fourth Proportional to 84.12, 115.77 and 71.79

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Solution

The fourth proportional to 84.12, 115.77 and 71.79 is: 98.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 115.77 = 71.79 : x
  2. Step 2: Convert to fraction form
    84.12/115.77 = 71.79/x
  3. Step 3: Cross multiply
    84.12x = 115.77 × 71.79
  4. Step 4: Simplify right side
    84.12x = 8,311.13
  5. Step 5: Solve for x
    x = 8,311.13/84.12
  6. Step 6: Final answer
    x = 98.80

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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.