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Finding the Fourth Proportional to 80.83, 111.45 and 72.64

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Solution

The fourth proportional to 80.83, 111.45 and 72.64 is: 100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.83 : 111.45 = 72.64 : x
  2. Step 2: Convert to fraction form
    80.83/111.45 = 72.64/x
  3. Step 3: Cross multiply
    80.83x = 111.45 × 72.64
  4. Step 4: Simplify right side
    80.83x = 8,095.73
  5. Step 5: Solve for x
    x = 8,095.73/80.83
  6. Step 6: Final answer
    x = 100.16

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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.