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Finding the Fourth Proportional to 71.13, 106.83 and 67.94

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Solution

The fourth proportional to 71.13, 106.83 and 67.94 is: 102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.13 : 106.83 = 67.94 : x
  2. Step 2: Convert to fraction form
    71.13/106.83 = 67.94/x
  3. Step 3: Cross multiply
    71.13x = 106.83 × 67.94
  4. Step 4: Simplify right side
    71.13x = 7,257.50
  5. Step 5: Solve for x
    x = 7,257.50/71.13
  6. Step 6: Final answer
    x = 102.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.