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Finding the Fourth Proportional to 104.56, 155.86 and 96.86

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Solution

The fourth proportional to 104.56, 155.86 and 96.86 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.56 : 155.86 = 96.86 : x
  2. Step 2: Convert to fraction form
    104.56/155.86 = 96.86/x
  3. Step 3: Cross multiply
    104.56x = 155.86 × 96.86
  4. Step 4: Simplify right side
    104.56x = 15,096.75
  5. Step 5: Solve for x
    x = 15,096.75/104.56
  6. Step 6: Final answer
    x = 144.39

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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.