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Finding the Fourth Proportional to 57.46, 79.26 and 34.14

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Solution

The fourth proportional to 57.46, 79.26 and 34.14 is: 47.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.46 : 79.26 = 34.14 : x
  2. Step 2: Convert to fraction form
    57.46/79.26 = 34.14/x
  3. Step 3: Cross multiply
    57.46x = 79.26 × 34.14
  4. Step 4: Simplify right side
    57.46x = 2,705.77
  5. Step 5: Solve for x
    x = 2,705.77/57.46
  6. Step 6: Final answer
    x = 47.09

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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.