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Finding the Fourth Proportional to 48.44, 66.96 and 42.36

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Solution

The fourth proportional to 48.44, 66.96 and 42.36 is: 58.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.44 : 66.96 = 42.36 : x
  2. Step 2: Convert to fraction form
    48.44/66.96 = 42.36/x
  3. Step 3: Cross multiply
    48.44x = 66.96 × 42.36
  4. Step 4: Simplify right side
    48.44x = 2,836.43
  5. Step 5: Solve for x
    x = 2,836.43/48.44
  6. Step 6: Final answer
    x = 58.56

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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.