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Finding the Fourth Proportional to 70.27, 96.96 and 63.62

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Solution

The fourth proportional to 70.27, 96.96 and 63.62 is: 87.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.27 : 96.96 = 63.62 : x
  2. Step 2: Convert to fraction form
    70.27/96.96 = 63.62/x
  3. Step 3: Cross multiply
    70.27x = 96.96 × 63.62
  4. Step 4: Simplify right side
    70.27x = 6,168.71
  5. Step 5: Solve for x
    x = 6,168.71/70.27
  6. Step 6: Final answer
    x = 87.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.