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Finding the Fourth Proportional to 67.49, 100.50 and 66.68

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Solution

The fourth proportional to 67.49, 100.50 and 66.68 is: 99.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.49 : 100.50 = 66.68 : x
  2. Step 2: Convert to fraction form
    67.49/100.50 = 66.68/x
  3. Step 3: Cross multiply
    67.49x = 100.50 × 66.68
  4. Step 4: Simplify right side
    67.49x = 6,700.84
  5. Step 5: Solve for x
    x = 6,700.84/67.49
  6. Step 6: Final answer
    x = 99.29

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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.