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Finding the Fourth Proportional to 67.01, 100.29 and 53.43

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Solution

The fourth proportional to 67.01, 100.29 and 53.43 is: 79.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.01 : 100.29 = 53.43 : x
  2. Step 2: Convert to fraction form
    67.01/100.29 = 53.43/x
  3. Step 3: Cross multiply
    67.01x = 100.29 × 53.43
  4. Step 4: Simplify right side
    67.01x = 5,358.49
  5. Step 5: Solve for x
    x = 5,358.49/67.01
  6. Step 6: Final answer
    x = 79.97

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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.