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Finding the Fourth Proportional to 76.16, 104.76 and 68.27

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Solution

The fourth proportional to 76.16, 104.76 and 68.27 is: 93.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 104.76 = 68.27 : x
  2. Step 2: Convert to fraction form
    76.16/104.76 = 68.27/x
  3. Step 3: Cross multiply
    76.16x = 104.76 × 68.27
  4. Step 4: Simplify right side
    76.16x = 7,151.44
  5. Step 5: Solve for x
    x = 7,151.44/76.16
  6. Step 6: Final answer
    x = 93.90

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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.