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Finding the Fourth Proportional to 70.57, 96.81 and 68.77

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Solution

The fourth proportional to 70.57, 96.81 and 68.77 is: 94.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.57 : 96.81 = 68.77 : x
  2. Step 2: Convert to fraction form
    70.57/96.81 = 68.77/x
  3. Step 3: Cross multiply
    70.57x = 96.81 × 68.77
  4. Step 4: Simplify right side
    70.57x = 6,657.62
  5. Step 5: Solve for x
    x = 6,657.62/70.57
  6. Step 6: Final answer
    x = 94.34

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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.