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Finding the Fourth Proportional to 55.97, 77.26 and 35.29

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Solution

The fourth proportional to 55.97, 77.26 and 35.29 is: 48.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.97 : 77.26 = 35.29 : x
  2. Step 2: Convert to fraction form
    55.97/77.26 = 35.29/x
  3. Step 3: Cross multiply
    55.97x = 77.26 × 35.29
  4. Step 4: Simplify right side
    55.97x = 2,726.12
  5. Step 5: Solve for x
    x = 2,726.12/55.97
  6. Step 6: Final answer
    x = 48.71

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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.