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Finding the Fourth Proportional to 81.84, 113.16 and 78.08

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Solution

The fourth proportional to 81.84, 113.16 and 78.08 is: 107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 113.16 = 78.08 : x
  2. Step 2: Convert to fraction form
    81.84/113.16 = 78.08/x
  3. Step 3: Cross multiply
    81.84x = 113.16 × 78.08
  4. Step 4: Simplify right side
    81.84x = 8,835.53
  5. Step 5: Solve for x
    x = 8,835.53/81.84
  6. Step 6: Final answer
    x = 107.96

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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.