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Finding the Fourth Proportional to 42.88, 58.91 and 38.49

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Solution

The fourth proportional to 42.88, 58.91 and 38.49 is: 52.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.88 : 58.91 = 38.49 : x
  2. Step 2: Convert to fraction form
    42.88/58.91 = 38.49/x
  3. Step 3: Cross multiply
    42.88x = 58.91 × 38.49
  4. Step 4: Simplify right side
    42.88x = 2,267.54
  5. Step 5: Solve for x
    x = 2,267.54/42.88
  6. Step 6: Final answer
    x = 52.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.