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Finding the Fourth Proportional to 57.29, 79.02 and 41.78

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Solution

The fourth proportional to 57.29, 79.02 and 41.78 is: 57.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.29 : 79.02 = 41.78 : x
  2. Step 2: Convert to fraction form
    57.29/79.02 = 41.78/x
  3. Step 3: Cross multiply
    57.29x = 79.02 × 41.78
  4. Step 4: Simplify right side
    57.29x = 3,301.46
  5. Step 5: Solve for x
    x = 3,301.46/57.29
  6. Step 6: Final answer
    x = 57.63

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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.