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Finding the Fourth Proportional to 67.64, 101.56 and 33.52

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Solution

The fourth proportional to 67.64, 101.56 and 33.52 is: 50.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 101.56 = 33.52 : x
  2. Step 2: Convert to fraction form
    67.64/101.56 = 33.52/x
  3. Step 3: Cross multiply
    67.64x = 101.56 × 33.52
  4. Step 4: Simplify right side
    67.64x = 3,404.08
  5. Step 5: Solve for x
    x = 3,404.08/67.64
  6. Step 6: Final answer
    x = 50.33

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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.