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Finding the Fourth Proportional to 70.36, 97.76 and 69.49

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Solution

The fourth proportional to 70.36, 97.76 and 69.49 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.36 : 97.76 = 69.49 : x
  2. Step 2: Convert to fraction form
    70.36/97.76 = 69.49/x
  3. Step 3: Cross multiply
    70.36x = 97.76 × 69.49
  4. Step 4: Simplify right side
    70.36x = 6,793.34
  5. Step 5: Solve for x
    x = 6,793.34/70.36
  6. Step 6: Final answer
    x = 96.55

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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.