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Finding the Fourth Proportional to 73.54, 100.45 and 72.94

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Solution

The fourth proportional to 73.54, 100.45 and 72.94 is: 99.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 100.45 = 72.94 : x
  2. Step 2: Convert to fraction form
    73.54/100.45 = 72.94/x
  3. Step 3: Cross multiply
    73.54x = 100.45 × 72.94
  4. Step 4: Simplify right side
    73.54x = 7,327.01
  5. Step 5: Solve for x
    x = 7,327.01/73.54
  6. Step 6: Final answer
    x = 99.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.