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Finding the Fourth Proportional to 104.11, 142.98 and 96.59

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Solution

The fourth proportional to 104.11, 142.98 and 96.59 is: 132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.11 : 142.98 = 96.59 : x
  2. Step 2: Convert to fraction form
    104.11/142.98 = 96.59/x
  3. Step 3: Cross multiply
    104.11x = 142.98 × 96.59
  4. Step 4: Simplify right side
    104.11x = 13,810.44
  5. Step 5: Solve for x
    x = 13,810.44/104.11
  6. Step 6: Final answer
    x = 132.65

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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.