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Finding the Fourth Proportional to 57.12, 78.82 and 34.12

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Solution

The fourth proportional to 57.12, 78.82 and 34.12 is: 47.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 78.82 = 34.12 : x
  2. Step 2: Convert to fraction form
    57.12/78.82 = 34.12/x
  3. Step 3: Cross multiply
    57.12x = 78.82 × 34.12
  4. Step 4: Simplify right side
    57.12x = 2,689.34
  5. Step 5: Solve for x
    x = 2,689.34/57.12
  6. Step 6: Final answer
    x = 47.08

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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.