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Finding the Fourth Proportional to 75.74, 112.97 and 68.05

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Solution

The fourth proportional to 75.74, 112.97 and 68.05 is: 101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.74 : 112.97 = 68.05 : x
  2. Step 2: Convert to fraction form
    75.74/112.97 = 68.05/x
  3. Step 3: Cross multiply
    75.74x = 112.97 × 68.05
  4. Step 4: Simplify right side
    75.74x = 7,687.61
  5. Step 5: Solve for x
    x = 7,687.61/75.74
  6. Step 6: Final answer
    x = 101.50

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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.