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Finding the Fourth Proportional to 80.34, 110.78 and 51.22

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Solution

The fourth proportional to 80.34, 110.78 and 51.22 is: 70.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 110.78 = 51.22 : x
  2. Step 2: Convert to fraction form
    80.34/110.78 = 51.22/x
  3. Step 3: Cross multiply
    80.34x = 110.78 × 51.22
  4. Step 4: Simplify right side
    80.34x = 5,674.15
  5. Step 5: Solve for x
    x = 5,674.15/80.34
  6. Step 6: Final answer
    x = 70.63

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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.