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Finding the Fourth Proportional to 67.50, 100.50 and 66.69

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Solution

The fourth proportional to 67.50, 100.50 and 66.69 is: 99.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 100.50 = 66.69 : x
  2. Step 2: Convert to fraction form
    67.50/100.50 = 66.69/x
  3. Step 3: Cross multiply
    67.50x = 100.50 × 66.69
  4. Step 4: Simplify right side
    67.50x = 6,702.35
  5. Step 5: Solve for x
    x = 6,702.35/67.50
  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.