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Finding the Fourth Proportional to 55.97, 77.19 and 41.27

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Solution

The fourth proportional to 55.97, 77.19 and 41.27 is: 56.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.97 : 77.19 = 41.27 : x
  2. Step 2: Convert to fraction form
    55.97/77.19 = 41.27/x
  3. Step 3: Cross multiply
    55.97x = 77.19 × 41.27
  4. Step 4: Simplify right side
    55.97x = 3,185.82
  5. Step 5: Solve for x
    x = 3,185.82/55.97
  6. Step 6: Final answer
    x = 56.92

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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.