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Finding the Fourth Proportional to 107.84, 160.80 and 100.96

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Solution

The fourth proportional to 107.84, 160.80 and 100.96 is: 150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 160.80 = 100.96 : x
  2. Step 2: Convert to fraction form
    107.84/160.80 = 100.96/x
  3. Step 3: Cross multiply
    107.84x = 160.80 × 100.96
  4. Step 4: Simplify right side
    107.84x = 16,234.37
  5. Step 5: Solve for x
    x = 16,234.37/107.84
  6. Step 6: Final answer
    x = 150.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.