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Finding the Fourth Proportional to 131.14, 195.60 and 110.71

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Solution

The fourth proportional to 131.14, 195.60 and 110.71 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 195.60 = 110.71 : x
  2. Step 2: Convert to fraction form
    131.14/195.60 = 110.71/x
  3. Step 3: Cross multiply
    131.14x = 195.60 × 110.71
  4. Step 4: Simplify right side
    131.14x = 21,655.01
  5. Step 5: Solve for x
    x = 21,655.01/131.14
  6. Step 6: Final answer
    x = 165.13

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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.