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Finding the Fourth Proportional to 141.76, 195.64 and 102.96

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Solution

The fourth proportional to 141.76, 195.64 and 102.96 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 195.64 = 102.96 : x
  2. Step 2: Convert to fraction form
    141.76/195.64 = 102.96/x
  3. Step 3: Cross multiply
    141.76x = 195.64 × 102.96
  4. Step 4: Simplify right side
    141.76x = 20,143.09
  5. Step 5: Solve for x
    x = 20,143.09/141.76
  6. Step 6: Final answer
    x = 142.09

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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.