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Finding the Fourth Proportional to 80.10, 110.64 and 75.54

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Solution

The fourth proportional to 80.10, 110.64 and 75.54 is: 104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.10 : 110.64 = 75.54 : x
  2. Step 2: Convert to fraction form
    80.10/110.64 = 75.54/x
  3. Step 3: Cross multiply
    80.10x = 110.64 × 75.54
  4. Step 4: Simplify right side
    80.10x = 8,357.75
  5. Step 5: Solve for x
    x = 8,357.75/80.10
  6. Step 6: Final answer
    x = 104.34

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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.