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Finding the Fourth Proportional to 118.01, 175.85 and 105.90

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Solution

The fourth proportional to 118.01, 175.85 and 105.90 is: 157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.01 : 175.85 = 105.90 : x
  2. Step 2: Convert to fraction form
    118.01/175.85 = 105.90/x
  3. Step 3: Cross multiply
    118.01x = 175.85 × 105.90
  4. Step 4: Simplify right side
    118.01x = 18,621.72
  5. Step 5: Solve for x
    x = 18,621.72/118.01
  6. Step 6: Final answer
    x = 157.79

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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.