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Finding the Fourth Proportional to 79.86, 110.22 and 54.06

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Solution

The fourth proportional to 79.86, 110.22 and 54.06 is: 74.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.86 : 110.22 = 54.06 : x
  2. Step 2: Convert to fraction form
    79.86/110.22 = 54.06/x
  3. Step 3: Cross multiply
    79.86x = 110.22 × 54.06
  4. Step 4: Simplify right side
    79.86x = 5,958.49
  5. Step 5: Solve for x
    x = 5,958.49/79.86
  6. Step 6: Final answer
    x = 74.61

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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.