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Finding the Fourth Proportional to 130.96, 195.48 and 120.14

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Solution

The fourth proportional to 130.96, 195.48 and 120.14 is: 179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.96 : 195.48 = 120.14 : x
  2. Step 2: Convert to fraction form
    130.96/195.48 = 120.14/x
  3. Step 3: Cross multiply
    130.96x = 195.48 × 120.14
  4. Step 4: Simplify right side
    130.96x = 23,484.97
  5. Step 5: Solve for x
    x = 23,484.97/130.96
  6. Step 6: Final answer
    x = 179.33

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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.