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Finding the Fourth Proportional to 45.26, 67.56 and 42.09

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Solution

The fourth proportional to 45.26, 67.56 and 42.09 is: 62.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.26 : 67.56 = 42.09 : x
  2. Step 2: Convert to fraction form
    45.26/67.56 = 42.09/x
  3. Step 3: Cross multiply
    45.26x = 67.56 × 42.09
  4. Step 4: Simplify right side
    45.26x = 2,843.39
  5. Step 5: Solve for x
    x = 2,843.39/45.26
  6. Step 6: Final answer
    x = 62.83

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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.