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Finding the Fourth Proportional to 79.86, 119.84 and 55.97

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Solution

The fourth proportional to 79.86, 119.84 and 55.97 is: 83.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.86 : 119.84 = 55.97 : x
  2. Step 2: Convert to fraction form
    79.86/119.84 = 55.97/x
  3. Step 3: Cross multiply
    79.86x = 119.84 × 55.97
  4. Step 4: Simplify right side
    79.86x = 6,706.57
  5. Step 5: Solve for x
    x = 6,706.57/79.86
  6. Step 6: Final answer
    x = 83.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.