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Finding the Fourth Proportional to 55.82, 77.04 and 36.42

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Solution

The fourth proportional to 55.82, 77.04 and 36.42 is: 50.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.82 : 77.04 = 36.42 : x
  2. Step 2: Convert to fraction form
    55.82/77.04 = 36.42/x
  3. Step 3: Cross multiply
    55.82x = 77.04 × 36.42
  4. Step 4: Simplify right side
    55.82x = 2,805.80
  5. Step 5: Solve for x
    x = 2,805.80/55.82
  6. Step 6: Final answer
    x = 50.27

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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.