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Finding the Fourth Proportional to 71.11, 107.31 and 68.57

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Solution

The fourth proportional to 71.11, 107.31 and 68.57 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.11 : 107.31 = 68.57 : x
  2. Step 2: Convert to fraction form
    71.11/107.31 = 68.57/x
  3. Step 3: Cross multiply
    71.11x = 107.31 × 68.57
  4. Step 4: Simplify right side
    71.11x = 7,357.37
  5. Step 5: Solve for x
    x = 7,357.37/71.11
  6. Step 6: Final answer
    x = 103.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.