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Finding the Fourth Proportional to 80.07, 110.43 and 73.53

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Solution

The fourth proportional to 80.07, 110.43 and 73.53 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.07 : 110.43 = 73.53 : x
  2. Step 2: Convert to fraction form
    80.07/110.43 = 73.53/x
  3. Step 3: Cross multiply
    80.07x = 110.43 × 73.53
  4. Step 4: Simplify right side
    80.07x = 8,120.19
  5. Step 5: Solve for x
    x = 8,120.19/80.07
  6. Step 6: Final answer
    x = 101.42

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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.