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Finding the Fourth Proportional to 78.50, 108.24 and 50.86

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Solution

The fourth proportional to 78.50, 108.24 and 50.86 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.50 : 108.24 = 50.86 : x
  2. Step 2: Convert to fraction form
    78.50/108.24 = 50.86/x
  3. Step 3: Cross multiply
    78.50x = 108.24 × 50.86
  4. Step 4: Simplify right side
    78.50x = 5,505.52
  5. Step 5: Solve for x
    x = 5,505.52/78.50
  6. Step 6: Final answer
    x = 70.13

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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.