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Finding the Fourth Proportional to 42.09, 57.65 and 40.74

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Solution

The fourth proportional to 42.09, 57.65 and 40.74 is: 55.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.09 : 57.65 = 40.74 : x
  2. Step 2: Convert to fraction form
    42.09/57.65 = 40.74/x
  3. Step 3: Cross multiply
    42.09x = 57.65 × 40.74
  4. Step 4: Simplify right side
    42.09x = 2,348.46
  5. Step 5: Solve for x
    x = 2,348.46/42.09
  6. Step 6: Final answer
    x = 55.80

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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.