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Finding the Fourth Proportional to 103.96, 156.08 and 67.40

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Solution

The fourth proportional to 103.96, 156.08 and 67.40 is: 101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 156.08 = 67.40 : x
  2. Step 2: Convert to fraction form
    103.96/156.08 = 67.40/x
  3. Step 3: Cross multiply
    103.96x = 156.08 × 67.40
  4. Step 4: Simplify right side
    103.96x = 10,519.79
  5. Step 5: Solve for x
    x = 10,519.79/103.96
  6. Step 6: Final answer
    x = 101.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.