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Finding the Fourth Proportional to 104.93, 143.97 and 102.34

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Solution

The fourth proportional to 104.93, 143.97 and 102.34 is: 140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.93 : 143.97 = 102.34 : x
  2. Step 2: Convert to fraction form
    104.93/143.97 = 102.34/x
  3. Step 3: Cross multiply
    104.93x = 143.97 × 102.34
  4. Step 4: Simplify right side
    104.93x = 14,733.69
  5. Step 5: Solve for x
    x = 14,733.69/104.93
  6. Step 6: Final answer
    x = 140.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.