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Finding the Fourth Proportional to 75.18, 112.11 and 67.05

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Solution

The fourth proportional to 75.18, 112.11 and 67.05 is: 99.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.18 : 112.11 = 67.05 : x
  2. Step 2: Convert to fraction form
    75.18/112.11 = 67.05/x
  3. Step 3: Cross multiply
    75.18x = 112.11 × 67.05
  4. Step 4: Simplify right side
    75.18x = 7,516.98
  5. Step 5: Solve for x
    x = 7,516.98/75.18
  6. Step 6: Final answer
    x = 99.99

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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.