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Finding the Fourth Proportional to 75.11, 112.01 and 68.22

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Solution

The fourth proportional to 75.11, 112.01 and 68.22 is: 101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.11 : 112.01 = 68.22 : x
  2. Step 2: Convert to fraction form
    75.11/112.01 = 68.22/x
  3. Step 3: Cross multiply
    75.11x = 112.01 × 68.22
  4. Step 4: Simplify right side
    75.11x = 7,640.98
  5. Step 5: Solve for x
    x = 7,640.98/75.11
  6. Step 6: Final answer
    x = 101.74

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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.