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Finding the Fourth Proportional to 142.16, 195.96 and 102.68

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Solution

The fourth proportional to 142.16, 195.96 and 102.68 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 195.96 = 102.68 : x
  2. Step 2: Convert to fraction form
    142.16/195.96 = 102.68/x
  3. Step 3: Cross multiply
    142.16x = 195.96 × 102.68
  4. Step 4: Simplify right side
    142.16x = 20,121.17
  5. Step 5: Solve for x
    x = 20,121.17/142.16
  6. Step 6: Final answer
    x = 141.54

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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.