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Finding the Fourth Proportional to 55.77, 76.96 and 36.09

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Solution

The fourth proportional to 55.77, 76.96 and 36.09 is: 49.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.77 : 76.96 = 36.09 : x
  2. Step 2: Convert to fraction form
    55.77/76.96 = 36.09/x
  3. Step 3: Cross multiply
    55.77x = 76.96 × 36.09
  4. Step 4: Simplify right side
    55.77x = 2,777.49
  5. Step 5: Solve for x
    x = 2,777.49/55.77
  6. Step 6: Final answer
    x = 49.80

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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.