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Finding the Fourth Proportional to 79.57, 109.23 and 73.42

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Solution

The fourth proportional to 79.57, 109.23 and 73.42 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.57 : 109.23 = 73.42 : x
  2. Step 2: Convert to fraction form
    79.57/109.23 = 73.42/x
  3. Step 3: Cross multiply
    79.57x = 109.23 × 73.42
  4. Step 4: Simplify right side
    79.57x = 8,019.12
  5. Step 5: Solve for x
    x = 8,019.12/79.57
  6. Step 6: Final answer
    x = 100.78

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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.