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Finding the Fourth Proportional to 57.40, 79.22 and 41

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Solution

The fourth proportional to 57.40, 79.22 and 41 is: 56.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.40 : 79.22 = 41 : x
  2. Step 2: Convert to fraction form
    57.40/79.22 = 41/x
  3. Step 3: Cross multiply
    57.40x = 79.22 × 41
  4. Step 4: Simplify right side
    57.40x = 3,248.02
  5. Step 5: Solve for x
    x = 3,248.02/57.40
  6. Step 6: Final answer
    x = 56.59

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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.