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Finding the Fourth Proportional to 79.75, 110.07 and 53.92

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Solution

The fourth proportional to 79.75, 110.07 and 53.92 is: 74.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.75 : 110.07 = 53.92 : x
  2. Step 2: Convert to fraction form
    79.75/110.07 = 53.92/x
  3. Step 3: Cross multiply
    79.75x = 110.07 × 53.92
  4. Step 4: Simplify right side
    79.75x = 5,934.97
  5. Step 5: Solve for x
    x = 5,934.97/79.75
  6. Step 6: Final answer
    x = 74.42

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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.