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Finding the Fourth Proportional to 80.93, 120.59 and 72.86

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Solution

The fourth proportional to 80.93, 120.59 and 72.86 is: 108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.93 : 120.59 = 72.86 : x
  2. Step 2: Convert to fraction form
    80.93/120.59 = 72.86/x
  3. Step 3: Cross multiply
    80.93x = 120.59 × 72.86
  4. Step 4: Simplify right side
    80.93x = 8,785.22
  5. Step 5: Solve for x
    x = 8,785.22/80.93
  6. Step 6: Final answer
    x = 108.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.