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Finding the Fourth Proportional to 96.26, 143.55 and 80.90

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Solution

The fourth proportional to 96.26, 143.55 and 80.90 is: 120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.26 : 143.55 = 80.90 : x
  2. Step 2: Convert to fraction form
    96.26/143.55 = 80.90/x
  3. Step 3: Cross multiply
    96.26x = 143.55 × 80.90
  4. Step 4: Simplify right side
    96.26x = 11,612.79
  5. Step 5: Solve for x
    x = 11,612.79/96.26
  6. Step 6: Final answer
    x = 120.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.