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Finding the Fourth Proportional to 76.59, 105.21 and 75.69

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Solution

The fourth proportional to 76.59, 105.21 and 75.69 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.59 : 105.21 = 75.69 : x
  2. Step 2: Convert to fraction form
    76.59/105.21 = 75.69/x
  3. Step 3: Cross multiply
    76.59x = 105.21 × 75.69
  4. Step 4: Simplify right side
    76.59x = 7,963.34
  5. Step 5: Solve for x
    x = 7,963.34/76.59
  6. Step 6: Final answer
    x = 103.97

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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.