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Finding the Fourth Proportional to 70.29, 104.82 and 67.47

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Solution

The fourth proportional to 70.29, 104.82 and 67.47 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.29 : 104.82 = 67.47 : x
  2. Step 2: Convert to fraction form
    70.29/104.82 = 67.47/x
  3. Step 3: Cross multiply
    70.29x = 104.82 × 67.47
  4. Step 4: Simplify right side
    70.29x = 7,072.21
  5. Step 5: Solve for x
    x = 7,072.21/70.29
  6. Step 6: Final answer
    x = 100.61

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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.