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Finding the Fourth Proportional to 73.72, 102.43 and 72.74

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Solution

The fourth proportional to 73.72, 102.43 and 72.74 is: 101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.72 : 102.43 = 72.74 : x
  2. Step 2: Convert to fraction form
    73.72/102.43 = 72.74/x
  3. Step 3: Cross multiply
    73.72x = 102.43 × 72.74
  4. Step 4: Simplify right side
    73.72x = 7,450.83
  5. Step 5: Solve for x
    x = 7,450.83/73.72
  6. Step 6: Final answer
    x = 101.07

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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.