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Finding the Fourth Proportional to 52.80, 79.14 and 22.38

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Solution

The fourth proportional to 52.80, 79.14 and 22.38 is: 33.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.80 : 79.14 = 22.38 : x
  2. Step 2: Convert to fraction form
    52.80/79.14 = 22.38/x
  3. Step 3: Cross multiply
    52.80x = 79.14 × 22.38
  4. Step 4: Simplify right side
    52.80x = 1,771.15
  5. Step 5: Solve for x
    x = 1,771.15/52.80
  6. Step 6: Final answer
    x = 33.54

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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.