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Finding the Fourth Proportional to 96.84, 133.58 and 78.44

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Solution

The fourth proportional to 96.84, 133.58 and 78.44 is: 108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.84 : 133.58 = 78.44 : x
  2. Step 2: Convert to fraction form
    96.84/133.58 = 78.44/x
  3. Step 3: Cross multiply
    96.84x = 133.58 × 78.44
  4. Step 4: Simplify right side
    96.84x = 10,477.54
  5. Step 5: Solve for x
    x = 10,477.54/96.84
  6. Step 6: Final answer
    x = 108.19

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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.