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Finding the Fourth Proportional to 102.90, 142.01 and 61.44

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Solution

The fourth proportional to 102.90, 142.01 and 61.44 is: 84.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.90 : 142.01 = 61.44 : x
  2. Step 2: Convert to fraction form
    102.90/142.01 = 61.44/x
  3. Step 3: Cross multiply
    102.90x = 142.01 × 61.44
  4. Step 4: Simplify right side
    102.90x = 8,724.79
  5. Step 5: Solve for x
    x = 8,724.79/102.90
  6. Step 6: Final answer
    x = 84.79

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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.