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Finding the Fourth Proportional to 118.35, 176.70 and 106.83

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Solution

The fourth proportional to 118.35, 176.70 and 106.83 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.35 : 176.70 = 106.83 : x
  2. Step 2: Convert to fraction form
    118.35/176.70 = 106.83/x
  3. Step 3: Cross multiply
    118.35x = 176.70 × 106.83
  4. Step 4: Simplify right side
    118.35x = 18,876.86
  5. Step 5: Solve for x
    x = 18,876.86/118.35
  6. Step 6: Final answer
    x = 159.50

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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.