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Finding the Fourth Proportional to 42.46, 58.60 and 37.02

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Solution

The fourth proportional to 42.46, 58.60 and 37.02 is: 51.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.46 : 58.60 = 37.02 : x
  2. Step 2: Convert to fraction form
    42.46/58.60 = 37.02/x
  3. Step 3: Cross multiply
    42.46x = 58.60 × 37.02
  4. Step 4: Simplify right side
    42.46x = 2,169.37
  5. Step 5: Solve for x
    x = 2,169.37/42.46
  6. Step 6: Final answer
    x = 51.09

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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.