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Finding the Fourth Proportional to 67.02, 100.04 and 57.33

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Solution

The fourth proportional to 67.02, 100.04 and 57.33 is: 85.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.02 : 100.04 = 57.33 : x
  2. Step 2: Convert to fraction form
    67.02/100.04 = 57.33/x
  3. Step 3: Cross multiply
    67.02x = 100.04 × 57.33
  4. Step 4: Simplify right side
    67.02x = 5,735.29
  5. Step 5: Solve for x
    x = 5,735.29/67.02
  6. Step 6: Final answer
    x = 85.58

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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.