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Finding the Fourth Proportional to 42.06, 58.02 and 40.22

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Solution

The fourth proportional to 42.06, 58.02 and 40.22 is: 55.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 58.02 = 40.22 : x
  2. Step 2: Convert to fraction form
    42.06/58.02 = 40.22/x
  3. Step 3: Cross multiply
    42.06x = 58.02 × 40.22
  4. Step 4: Simplify right side
    42.06x = 2,333.56
  5. Step 5: Solve for x
    x = 2,333.56/42.06
  6. Step 6: Final answer
    x = 55.48

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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.