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Finding the Fourth Proportional to 52.92, 78.87 and 52.44

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Solution

The fourth proportional to 52.92, 78.87 and 52.44 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.92 : 78.87 = 52.44 : x
  2. Step 2: Convert to fraction form
    52.92/78.87 = 52.44/x
  3. Step 3: Cross multiply
    52.92x = 78.87 × 52.44
  4. Step 4: Simplify right side
    52.92x = 4,135.94
  5. Step 5: Solve for x
    x = 4,135.94/52.92
  6. Step 6: Final answer
    x = 78.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.