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Finding the Fourth Proportional to 102.89, 142.01 and 84.44

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Solution

The fourth proportional to 102.89, 142.01 and 84.44 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.89 : 142.01 = 84.44 : x
  2. Step 2: Convert to fraction form
    102.89/142.01 = 84.44/x
  3. Step 3: Cross multiply
    102.89x = 142.01 × 84.44
  4. Step 4: Simplify right side
    102.89x = 11,991.32
  5. Step 5: Solve for x
    x = 11,991.32/102.89
  6. Step 6: Final answer
    x = 116.55

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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.