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Finding the Fourth Proportional to 118.34, 163.32 and 76.88

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Solution

The fourth proportional to 118.34, 163.32 and 76.88 is: 106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.34 : 163.32 = 76.88 : x
  2. Step 2: Convert to fraction form
    118.34/163.32 = 76.88/x
  3. Step 3: Cross multiply
    118.34x = 163.32 × 76.88
  4. Step 4: Simplify right side
    118.34x = 12,556.04
  5. Step 5: Solve for x
    x = 12,556.04/118.34
  6. Step 6: Final answer
    x = 106.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.