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Finding the Fourth Proportional to 70.96, 98.33 and 70.09

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Solution

The fourth proportional to 70.96, 98.33 and 70.09 is: 97.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.96 : 98.33 = 70.09 : x
  2. Step 2: Convert to fraction form
    70.96/98.33 = 70.09/x
  3. Step 3: Cross multiply
    70.96x = 98.33 × 70.09
  4. Step 4: Simplify right side
    70.96x = 6,891.95
  5. Step 5: Solve for x
    x = 6,891.95/70.96
  6. Step 6: Final answer
    x = 97.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.