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Finding the Fourth Proportional to 84.64, 116.85 and 78.82

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Solution

The fourth proportional to 84.64, 116.85 and 78.82 is: 108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.64 : 116.85 = 78.82 : x
  2. Step 2: Convert to fraction form
    84.64/116.85 = 78.82/x
  3. Step 3: Cross multiply
    84.64x = 116.85 × 78.82
  4. Step 4: Simplify right side
    84.64x = 9,210.58
  5. Step 5: Solve for x
    x = 9,210.58/84.64
  6. Step 6: Final answer
    x = 108.83

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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.