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Finding the Fourth Proportional to 74.56, 103.51 and 72.33

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Solution

The fourth proportional to 74.56, 103.51 and 72.33 is: 100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 103.51 = 72.33 : x
  2. Step 2: Convert to fraction form
    74.56/103.51 = 72.33/x
  3. Step 3: Cross multiply
    74.56x = 103.51 × 72.33
  4. Step 4: Simplify right side
    74.56x = 7,486.70
  5. Step 5: Solve for x
    x = 7,486.70/74.56
  6. Step 6: Final answer
    x = 100.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.