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Finding the Fourth Proportional to 70.62, 96.95 and 68.19

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Solution

The fourth proportional to 70.62, 96.95 and 68.19 is: 93.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.62 : 96.95 = 68.19 : x
  2. Step 2: Convert to fraction form
    70.62/96.95 = 68.19/x
  3. Step 3: Cross multiply
    70.62x = 96.95 × 68.19
  4. Step 4: Simplify right side
    70.62x = 6,610.68
  5. Step 5: Solve for x
    x = 6,610.68/70.62
  6. Step 6: Final answer
    x = 93.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.