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Finding the Fourth Proportional to 42.21, 57.94 and 40.45

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Solution

The fourth proportional to 42.21, 57.94 and 40.45 is: 55.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.21 : 57.94 = 40.45 : x
  2. Step 2: Convert to fraction form
    42.21/57.94 = 40.45/x
  3. Step 3: Cross multiply
    42.21x = 57.94 × 40.45
  4. Step 4: Simplify right side
    42.21x = 2,343.47
  5. Step 5: Solve for x
    x = 2,343.47/42.21
  6. Step 6: Final answer
    x = 55.52

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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.