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Finding the Fourth Proportional to 68.67, 103.77 and 68.67

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Solution

The fourth proportional to 68.67, 103.77 and 68.67 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.67 : 103.77 = 68.67 : x
  2. Step 2: Convert to fraction form
    68.67/103.77 = 68.67/x
  3. Step 3: Cross multiply
    68.67x = 103.77 × 68.67
  4. Step 4: Simplify right side
    68.67x = 7,125.89
  5. Step 5: Solve for x
    x = 7,125.89/68.67
  6. Step 6: Final answer
    x = 103.77

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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.