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Finding the Fourth Proportional to 103.96, 156.69 and 103.56

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Solution

The fourth proportional to 103.96, 156.69 and 103.56 is: 156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 156.69 = 103.56 : x
  2. Step 2: Convert to fraction form
    103.96/156.69 = 103.56/x
  3. Step 3: Cross multiply
    103.96x = 156.69 × 103.56
  4. Step 4: Simplify right side
    103.96x = 16,226.82
  5. Step 5: Solve for x
    x = 16,226.82/103.96
  6. Step 6: Final answer
    x = 156.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.