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Finding the Fourth Proportional to 80.18, 110.74 and 55.72

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Solution

The fourth proportional to 80.18, 110.74 and 55.72 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.18 : 110.74 = 55.72 : x
  2. Step 2: Convert to fraction form
    80.18/110.74 = 55.72/x
  3. Step 3: Cross multiply
    80.18x = 110.74 × 55.72
  4. Step 4: Simplify right side
    80.18x = 6,170.43
  5. Step 5: Solve for x
    x = 6,170.43/80.18
  6. Step 6: Final answer
    x = 76.96

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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.