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Finding the Fourth Proportional to 80.42, 110.94 and 51.30

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Solution

The fourth proportional to 80.42, 110.94 and 51.30 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.42 : 110.94 = 51.30 : x
  2. Step 2: Convert to fraction form
    80.42/110.94 = 51.30/x
  3. Step 3: Cross multiply
    80.42x = 110.94 × 51.30
  4. Step 4: Simplify right side
    80.42x = 5,691.22
  5. Step 5: Solve for x
    x = 5,691.22/80.42
  6. Step 6: Final answer
    x = 70.77

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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.