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Finding the Fourth Proportional to 52.27, 78.45 and 25.24

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Solution

The fourth proportional to 52.27, 78.45 and 25.24 is: 37.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.27 : 78.45 = 25.24 : x
  2. Step 2: Convert to fraction form
    52.27/78.45 = 25.24/x
  3. Step 3: Cross multiply
    52.27x = 78.45 × 25.24
  4. Step 4: Simplify right side
    52.27x = 1,979.69
  5. Step 5: Solve for x
    x = 1,979.69/52.27
  6. Step 6: Final answer
    x = 37.88

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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.