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Finding the Fourth Proportional to 48.96, 67.26 and 41.64

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Solution

The fourth proportional to 48.96, 67.26 and 41.64 is: 57.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.96 : 67.26 = 41.64 : x
  2. Step 2: Convert to fraction form
    48.96/67.26 = 41.64/x
  3. Step 3: Cross multiply
    48.96x = 67.26 × 41.64
  4. Step 4: Simplify right side
    48.96x = 2,800.71
  5. Step 5: Solve for x
    x = 2,800.71/48.96
  6. Step 6: Final answer
    x = 57.20

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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.