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Finding the Fourth Proportional to 55.12, 75.96 and 54.94

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Solution

The fourth proportional to 55.12, 75.96 and 54.94 is: 75.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.12 : 75.96 = 54.94 : x
  2. Step 2: Convert to fraction form
    55.12/75.96 = 54.94/x
  3. Step 3: Cross multiply
    55.12x = 75.96 × 54.94
  4. Step 4: Simplify right side
    55.12x = 4,173.24
  5. Step 5: Solve for x
    x = 4,173.24/55.12
  6. Step 6: Final answer
    x = 75.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.