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Finding the Fourth Proportional to 80.34, 110.73 and 76.62

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Solution

The fourth proportional to 80.34, 110.73 and 76.62 is: 105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 110.73 = 76.62 : x
  2. Step 2: Convert to fraction form
    80.34/110.73 = 76.62/x
  3. Step 3: Cross multiply
    80.34x = 110.73 × 76.62
  4. Step 4: Simplify right side
    80.34x = 8,484.13
  5. Step 5: Solve for x
    x = 8,484.13/80.34
  6. Step 6: Final answer
    x = 105.60

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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.