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Finding the Fourth Proportional to 82.08, 112.86 and 78.30

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Solution

The fourth proportional to 82.08, 112.86 and 78.30 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.08 : 112.86 = 78.30 : x
  2. Step 2: Convert to fraction form
    82.08/112.86 = 78.30/x
  3. Step 3: Cross multiply
    82.08x = 112.86 × 78.30
  4. Step 4: Simplify right side
    82.08x = 8,836.94
  5. Step 5: Solve for x
    x = 8,836.94/82.08
  6. Step 6: Final answer
    x = 107.66

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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.