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Finding the Fourth Proportional to 78.42, 108.24 and 50.78

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Solution

The fourth proportional to 78.42, 108.24 and 50.78 is: 70.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 108.24 = 50.78 : x
  2. Step 2: Convert to fraction form
    78.42/108.24 = 50.78/x
  3. Step 3: Cross multiply
    78.42x = 108.24 × 50.78
  4. Step 4: Simplify right side
    78.42x = 5,496.94
  5. Step 5: Solve for x
    x = 5,496.94/78.42
  6. Step 6: Final answer
    x = 70.09

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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.