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Finding the Fourth Proportional to 67.16, 100.76 and 31.08

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Solution

The fourth proportional to 67.16, 100.76 and 31.08 is: 46.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.16 : 100.76 = 31.08 : x
  2. Step 2: Convert to fraction form
    67.16/100.76 = 31.08/x
  3. Step 3: Cross multiply
    67.16x = 100.76 × 31.08
  4. Step 4: Simplify right side
    67.16x = 3,131.62
  5. Step 5: Solve for x
    x = 3,131.62/67.16
  6. Step 6: Final answer
    x = 46.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.