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Finding the Fourth Proportional to 57.82, 79.78 and 31.94

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Solution

The fourth proportional to 57.82, 79.78 and 31.94 is: 44.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.82 : 79.78 = 31.94 : x
  2. Step 2: Convert to fraction form
    57.82/79.78 = 31.94/x
  3. Step 3: Cross multiply
    57.82x = 79.78 × 31.94
  4. Step 4: Simplify right side
    57.82x = 2,548.17
  5. Step 5: Solve for x
    x = 2,548.17/57.82
  6. Step 6: Final answer
    x = 44.07

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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.