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Finding the Fourth Proportional to 75.76, 112.94 and 67.60

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Solution

The fourth proportional to 75.76, 112.94 and 67.60 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 112.94 = 67.60 : x
  2. Step 2: Convert to fraction form
    75.76/112.94 = 67.60/x
  3. Step 3: Cross multiply
    75.76x = 112.94 × 67.60
  4. Step 4: Simplify right side
    75.76x = 7,634.74
  5. Step 5: Solve for x
    x = 7,634.74/75.76
  6. Step 6: Final answer
    x = 100.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.