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Finding the Fourth Proportional to 103.96, 143.38 and 70.71

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Solution

The fourth proportional to 103.96, 143.38 and 70.71 is: 97.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 143.38 = 70.71 : x
  2. Step 2: Convert to fraction form
    103.96/143.38 = 70.71/x
  3. Step 3: Cross multiply
    103.96x = 143.38 × 70.71
  4. Step 4: Simplify right side
    103.96x = 10,138.40
  5. Step 5: Solve for x
    x = 10,138.40/103.96
  6. Step 6: Final answer
    x = 97.52

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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.