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Finding the Fourth Proportional to 55.81, 76.98 and 33.94

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Solution

The fourth proportional to 55.81, 76.98 and 33.94 is: 46.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.81 : 76.98 = 33.94 : x
  2. Step 2: Convert to fraction form
    55.81/76.98 = 33.94/x
  3. Step 3: Cross multiply
    55.81x = 76.98 × 33.94
  4. Step 4: Simplify right side
    55.81x = 2,612.70
  5. Step 5: Solve for x
    x = 2,612.70/55.81
  6. Step 6: Final answer
    x = 46.81

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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.