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Finding the Fourth Proportional to 42.41, 57.80 and 41.48

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Solution

The fourth proportional to 42.41, 57.80 and 41.48 is: 56.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.41 : 57.80 = 41.48 : x
  2. Step 2: Convert to fraction form
    42.41/57.80 = 41.48/x
  3. Step 3: Cross multiply
    42.41x = 57.80 × 41.48
  4. Step 4: Simplify right side
    42.41x = 2,397.26
  5. Step 5: Solve for x
    x = 2,397.26/42.41
  6. Step 6: Final answer
    x = 56.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.