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Finding the Fourth Proportional to 52.80, 72.96 and 39.84

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Solution

The fourth proportional to 52.80, 72.96 and 39.84 is: 55.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.80 : 72.96 = 39.84 : x
  2. Step 2: Convert to fraction form
    52.80/72.96 = 39.84/x
  3. Step 3: Cross multiply
    52.80x = 72.96 × 39.84
  4. Step 4: Simplify right side
    52.80x = 2,906.73
  5. Step 5: Solve for x
    x = 2,906.73/52.80
  6. Step 6: Final answer
    x = 55.05

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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.