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Finding the Fourth Proportional to 67.53, 101.23 and 37.09

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Solution

The fourth proportional to 67.53, 101.23 and 37.09 is: 55.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.53 : 101.23 = 37.09 : x
  2. Step 2: Convert to fraction form
    67.53/101.23 = 37.09/x
  3. Step 3: Cross multiply
    67.53x = 101.23 × 37.09
  4. Step 4: Simplify right side
    67.53x = 3,753.93
  5. Step 5: Solve for x
    x = 3,753.93/67.53
  6. Step 6: Final answer
    x = 55.59

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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.