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Finding the Fourth Proportional to 80.25, 110.66 and 52.64

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Solution

The fourth proportional to 80.25, 110.66 and 52.64 is: 72.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.25 : 110.66 = 52.64 : x
  2. Step 2: Convert to fraction form
    80.25/110.66 = 52.64/x
  3. Step 3: Cross multiply
    80.25x = 110.66 × 52.64
  4. Step 4: Simplify right side
    80.25x = 5,825.14
  5. Step 5: Solve for x
    x = 5,825.14/80.25
  6. Step 6: Final answer
    x = 72.59

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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.