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Finding the Fourth Proportional to 42.22, 57.80 and 41.14

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Solution

The fourth proportional to 42.22, 57.80 and 41.14 is: 56.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.22 : 57.80 = 41.14 : x
  2. Step 2: Convert to fraction form
    42.22/57.80 = 41.14/x
  3. Step 3: Cross multiply
    42.22x = 57.80 × 41.14
  4. Step 4: Simplify right side
    42.22x = 2,377.89
  5. Step 5: Solve for x
    x = 2,377.89/42.22
  6. Step 6: Final answer
    x = 56.32

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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.