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Finding the Fourth Proportional to 52, 78.02 and 19.94

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Solution

The fourth proportional to 52, 78.02 and 19.94 is: 29.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52 : 78.02 = 19.94 : x
  2. Step 2: Convert to fraction form
    52/78.02 = 19.94/x
  3. Step 3: Cross multiply
    52x = 78.02 × 19.94
  4. Step 4: Simplify right side
    52x = 1,555.72
  5. Step 5: Solve for x
    x = 1,555.72/52
  6. Step 6: Final answer
    x = 29.92

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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.