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Finding the Fourth Proportional to 74.43, 102.81 and 73.62

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Solution

The fourth proportional to 74.43, 102.81 and 73.62 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.43 : 102.81 = 73.62 : x
  2. Step 2: Convert to fraction form
    74.43/102.81 = 73.62/x
  3. Step 3: Cross multiply
    74.43x = 102.81 × 73.62
  4. Step 4: Simplify right side
    74.43x = 7,568.87
  5. Step 5: Solve for x
    x = 7,568.87/74.43
  6. Step 6: Final answer
    x = 101.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.