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Finding the Fourth Proportional to 78.86, 108.78 and 51.22

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Solution

The fourth proportional to 78.86, 108.78 and 51.22 is: 70.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.86 : 108.78 = 51.22 : x
  2. Step 2: Convert to fraction form
    78.86/108.78 = 51.22/x
  3. Step 3: Cross multiply
    78.86x = 108.78 × 51.22
  4. Step 4: Simplify right side
    78.86x = 5,571.71
  5. Step 5: Solve for x
    x = 5,571.71/78.86
  6. Step 6: Final answer
    x = 70.65

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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.