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Finding the Fourth Proportional to 76.24, 104.28 and 75.93

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Solution

The fourth proportional to 76.24, 104.28 and 75.93 is: 103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.24 : 104.28 = 75.93 : x
  2. Step 2: Convert to fraction form
    76.24/104.28 = 75.93/x
  3. Step 3: Cross multiply
    76.24x = 104.28 × 75.93
  4. Step 4: Simplify right side
    76.24x = 7,917.98
  5. Step 5: Solve for x
    x = 7,917.98/76.24
  6. Step 6: Final answer
    x = 103.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.