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Finding the Fourth Proportional to 75.76, 103.87 and 74.96

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Solution

The fourth proportional to 75.76, 103.87 and 74.96 is: 102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 103.87 = 74.96 : x
  2. Step 2: Convert to fraction form
    75.76/103.87 = 74.96/x
  3. Step 3: Cross multiply
    75.76x = 103.87 × 74.96
  4. Step 4: Simplify right side
    75.76x = 7,786.10
  5. Step 5: Solve for x
    x = 7,786.10/75.76
  6. Step 6: Final answer
    x = 102.77

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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.