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Finding the Fourth Proportional to 131.09, 180.88 and 81.95

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Solution

The fourth proportional to 131.09, 180.88 and 81.95 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.09 : 180.88 = 81.95 : x
  2. Step 2: Convert to fraction form
    131.09/180.88 = 81.95/x
  3. Step 3: Cross multiply
    131.09x = 180.88 × 81.95
  4. Step 4: Simplify right side
    131.09x = 14,822.01
  5. Step 5: Solve for x
    x = 14,822.01/131.09
  6. Step 6: Final answer
    x = 113.07

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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.