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Finding the Fourth Proportional to 42.62, 58.39 and 42.50

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Solution

The fourth proportional to 42.62, 58.39 and 42.50 is: 58.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.62 : 58.39 = 42.50 : x
  2. Step 2: Convert to fraction form
    42.62/58.39 = 42.50/x
  3. Step 3: Cross multiply
    42.62x = 58.39 × 42.50
  4. Step 4: Simplify right side
    42.62x = 2,481.58
  5. Step 5: Solve for x
    x = 2,481.58/42.62
  6. Step 6: Final answer
    x = 58.23

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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.