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Finding the Fourth Proportional to 67.57, 100.80 and 66.69

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Solution

The fourth proportional to 67.57, 100.80 and 66.69 is: 99.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.57 : 100.80 = 66.69 : x
  2. Step 2: Convert to fraction form
    67.57/100.80 = 66.69/x
  3. Step 3: Cross multiply
    67.57x = 100.80 × 66.69
  4. Step 4: Simplify right side
    67.57x = 6,722.02
  5. Step 5: Solve for x
    x = 6,722.02/67.57
  6. Step 6: Final answer
    x = 99.48

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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.