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Finding the Fourth Proportional to 42.04, 57.68 and 40.72

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Solution

The fourth proportional to 42.04, 57.68 and 40.72 is: 55.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.04 : 57.68 = 40.72 : x
  2. Step 2: Convert to fraction form
    42.04/57.68 = 40.72/x
  3. Step 3: Cross multiply
    42.04x = 57.68 × 40.72
  4. Step 4: Simplify right side
    42.04x = 2,348.73
  5. Step 5: Solve for x
    x = 2,348.73/42.04
  6. Step 6: Final answer
    x = 55.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.