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Finding the Fourth Proportional to 84.98, 116.77 and 76.88

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Solution

The fourth proportional to 84.98, 116.77 and 76.88 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.98 : 116.77 = 76.88 : x
  2. Step 2: Convert to fraction form
    84.98/116.77 = 76.88/x
  3. Step 3: Cross multiply
    84.98x = 116.77 × 76.88
  4. Step 4: Simplify right side
    84.98x = 8,976.89
  5. Step 5: Solve for x
    x = 8,976.89/84.98
  6. Step 6: Final answer
    x = 105.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.