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Finding the Fourth Proportional to 71.05, 105.95 and 67.39

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Solution

The fourth proportional to 71.05, 105.95 and 67.39 is: 100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 105.95 = 67.39 : x
  2. Step 2: Convert to fraction form
    71.05/105.95 = 67.39/x
  3. Step 3: Cross multiply
    71.05x = 105.95 × 67.39
  4. Step 4: Simplify right side
    71.05x = 7,139.97
  5. Step 5: Solve for x
    x = 7,139.97/71.05
  6. Step 6: Final answer
    x = 100.49

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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.