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Finding the Fourth Proportional to 78.72, 107.22 and 77.20

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Solution

The fourth proportional to 78.72, 107.22 and 77.20 is: 105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.72 : 107.22 = 77.20 : x
  2. Step 2: Convert to fraction form
    78.72/107.22 = 77.20/x
  3. Step 3: Cross multiply
    78.72x = 107.22 × 77.20
  4. Step 4: Simplify right side
    78.72x = 8,277.38
  5. Step 5: Solve for x
    x = 8,277.38/78.72
  6. Step 6: Final answer
    x = 105.15

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.