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Finding the Fourth Proportional to 70.54, 105.06 and 67.42

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Solution

The fourth proportional to 70.54, 105.06 and 67.42 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.54 : 105.06 = 67.42 : x
  2. Step 2: Convert to fraction form
    70.54/105.06 = 67.42/x
  3. Step 3: Cross multiply
    70.54x = 105.06 × 67.42
  4. Step 4: Simplify right side
    70.54x = 7,083.15
  5. Step 5: Solve for x
    x = 7,083.15/70.54
  6. Step 6: Final answer
    x = 100.41

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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.