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Finding the Fourth Proportional to 79.97, 120.77 and 79.97

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Solution

The fourth proportional to 79.97, 120.77 and 79.97 is: 120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.97 : 120.77 = 79.97 : x
  2. Step 2: Convert to fraction form
    79.97/120.77 = 79.97/x
  3. Step 3: Cross multiply
    79.97x = 120.77 × 79.97
  4. Step 4: Simplify right side
    79.97x = 9,657.27
  5. Step 5: Solve for x
    x = 9,657.27/79.97
  6. Step 6: Final answer
    x = 120.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.