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Finding the Fourth Proportional to 55.25, 82.94 and 32.44

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Solution

The fourth proportional to 55.25, 82.94 and 32.44 is: 48.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.25 : 82.94 = 32.44 : x
  2. Step 2: Convert to fraction form
    55.25/82.94 = 32.44/x
  3. Step 3: Cross multiply
    55.25x = 82.94 × 32.44
  4. Step 4: Simplify right side
    55.25x = 2,690.57
  5. Step 5: Solve for x
    x = 2,690.57/55.25
  6. Step 6: Final answer
    x = 48.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.