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Finding the Fourth Proportional to 102.92, 142.02 and 83.56

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Solution

The fourth proportional to 102.92, 142.02 and 83.56 is: 115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 142.02 = 83.56 : x
  2. Step 2: Convert to fraction form
    102.92/142.02 = 83.56/x
  3. Step 3: Cross multiply
    102.92x = 142.02 × 83.56
  4. Step 4: Simplify right side
    102.92x = 11,867.19
  5. Step 5: Solve for x
    x = 11,867.19/102.92
  6. Step 6: Final answer
    x = 115.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.