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Finding the Fourth Proportional to 76.28, 105.34 and 68.08

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Solution

The fourth proportional to 76.28, 105.34 and 68.08 is: 94.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 105.34 = 68.08 : x
  2. Step 2: Convert to fraction form
    76.28/105.34 = 68.08/x
  3. Step 3: Cross multiply
    76.28x = 105.34 × 68.08
  4. Step 4: Simplify right side
    76.28x = 7,171.55
  5. Step 5: Solve for x
    x = 7,171.55/76.28
  6. Step 6: Final answer
    x = 94.02

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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.