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Finding the Fourth Proportional to 91.41, 137.61 and 80.25

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Solution

The fourth proportional to 91.41, 137.61 and 80.25 is: 120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.41 : 137.61 = 80.25 : x
  2. Step 2: Convert to fraction form
    91.41/137.61 = 80.25/x
  3. Step 3: Cross multiply
    91.41x = 137.61 × 80.25
  4. Step 4: Simplify right side
    91.41x = 11,043.20
  5. Step 5: Solve for x
    x = 11,043.20/91.41
  6. Step 6: Final answer
    x = 120.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.