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Finding the Fourth Proportional to 80.28, 110.61 and 72.81

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Solution

The fourth proportional to 80.28, 110.61 and 72.81 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.28 : 110.61 = 72.81 : x
  2. Step 2: Convert to fraction form
    80.28/110.61 = 72.81/x
  3. Step 3: Cross multiply
    80.28x = 110.61 × 72.81
  4. Step 4: Simplify right side
    80.28x = 8,053.51
  5. Step 5: Solve for x
    x = 8,053.51/80.28
  6. Step 6: Final answer
    x = 100.32

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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.