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Finding the Fourth Proportional to 73.46, 100.74 and 67.52

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Solution

The fourth proportional to 73.46, 100.74 and 67.52 is: 92.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.46 : 100.74 = 67.52 : x
  2. Step 2: Convert to fraction form
    73.46/100.74 = 67.52/x
  3. Step 3: Cross multiply
    73.46x = 100.74 × 67.52
  4. Step 4: Simplify right side
    73.46x = 6,801.46
  5. Step 5: Solve for x
    x = 6,801.46/73.46
  6. Step 6: Final answer
    x = 92.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.