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Finding the Fourth Proportional to 70, 97.06 and 69.70

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Solution

The fourth proportional to 70, 97.06 and 69.70 is: 96.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70 : 97.06 = 69.70 : x
  2. Step 2: Convert to fraction form
    70/97.06 = 69.70/x
  3. Step 3: Cross multiply
    70x = 97.06 × 69.70
  4. Step 4: Simplify right side
    70x = 6,765.08
  5. Step 5: Solve for x
    x = 6,765.08/70
  6. Step 6: Final answer
    x = 96.64

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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.