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Finding the Fourth Proportional to 120.48, 179.77 and 113.13

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Solution

The fourth proportional to 120.48, 179.77 and 113.13 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 179.77 = 113.13 : x
  2. Step 2: Convert to fraction form
    120.48/179.77 = 113.13/x
  3. Step 3: Cross multiply
    120.48x = 179.77 × 113.13
  4. Step 4: Simplify right side
    120.48x = 20,337.86
  5. Step 5: Solve for x
    x = 20,337.86/120.48
  6. Step 6: Final answer
    x = 168.81

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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.