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Finding the Fourth Proportional to 57.84, 79.81 and 33.27

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Solution

The fourth proportional to 57.84, 79.81 and 33.27 is: 45.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 79.81 = 33.27 : x
  2. Step 2: Convert to fraction form
    57.84/79.81 = 33.27/x
  3. Step 3: Cross multiply
    57.84x = 79.81 × 33.27
  4. Step 4: Simplify right side
    57.84x = 2,654.71
  5. Step 5: Solve for x
    x = 2,654.71/57.84
  6. Step 6: Final answer
    x = 45.90

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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.