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Finding the Fourth Proportional to 55.97, 77.19 and 36.56

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Solution

The fourth proportional to 55.97, 77.19 and 36.56 is: 50.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.97 : 77.19 = 36.56 : x
  2. Step 2: Convert to fraction form
    55.97/77.19 = 36.56/x
  3. Step 3: Cross multiply
    55.97x = 77.19 × 36.56
  4. Step 4: Simplify right side
    55.97x = 2,822.07
  5. Step 5: Solve for x
    x = 2,822.07/55.97
  6. Step 6: Final answer
    x = 50.42

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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.