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Finding the Fourth Proportional to 70.48, 104.81 and 68.32

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Solution

The fourth proportional to 70.48, 104.81 and 68.32 is: 101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.48 : 104.81 = 68.32 : x
  2. Step 2: Convert to fraction form
    70.48/104.81 = 68.32/x
  3. Step 3: Cross multiply
    70.48x = 104.81 × 68.32
  4. Step 4: Simplify right side
    70.48x = 7,160.62
  5. Step 5: Solve for x
    x = 7,160.62/70.48
  6. Step 6: Final answer
    x = 101.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.