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Finding the Fourth Proportional to 57.84, 86.62 and 33.76

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Solution

The fourth proportional to 57.84, 86.62 and 33.76 is: 50.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 86.62 = 33.76 : x
  2. Step 2: Convert to fraction form
    57.84/86.62 = 33.76/x
  3. Step 3: Cross multiply
    57.84x = 86.62 × 33.76
  4. Step 4: Simplify right side
    57.84x = 2,924.29
  5. Step 5: Solve for x
    x = 2,924.29/57.84
  6. Step 6: Final answer
    x = 50.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.