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Finding the Fourth Proportional to 76.72, 105.96 and 68.98

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Solution

The fourth proportional to 76.72, 105.96 and 68.98 is: 95.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.96 = 68.98 : x
  2. Step 2: Convert to fraction form
    76.72/105.96 = 68.98/x
  3. Step 3: Cross multiply
    76.72x = 105.96 × 68.98
  4. Step 4: Simplify right side
    76.72x = 7,309.12
  5. Step 5: Solve for x
    x = 7,309.12/76.72
  6. Step 6: Final answer
    x = 95.27

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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.