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Finding the Fourth Proportional to 42.14, 58.07 and 35.60

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Solution

The fourth proportional to 42.14, 58.07 and 35.60 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 58.07 = 35.60 : x
  2. Step 2: Convert to fraction form
    42.14/58.07 = 35.60/x
  3. Step 3: Cross multiply
    42.14x = 58.07 × 35.60
  4. Step 4: Simplify right side
    42.14x = 2,067.09
  5. Step 5: Solve for x
    x = 2,067.09/42.14
  6. Step 6: Final answer
    x = 49.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.