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Finding the Fourth Proportional to 71.09, 105.96 and 67.17

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Solution

The fourth proportional to 71.09, 105.96 and 67.17 is: 100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 105.96 = 67.17 : x
  2. Step 2: Convert to fraction form
    71.09/105.96 = 67.17/x
  3. Step 3: Cross multiply
    71.09x = 105.96 × 67.17
  4. Step 4: Simplify right side
    71.09x = 7,117.33
  5. Step 5: Solve for x
    x = 7,117.33/71.09
  6. Step 6: Final answer
    x = 100.12

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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.