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Finding the Fourth Proportional to 78.63, 107.85 and 72.15

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Solution

The fourth proportional to 78.63, 107.85 and 72.15 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.63 : 107.85 = 72.15 : x
  2. Step 2: Convert to fraction form
    78.63/107.85 = 72.15/x
  3. Step 3: Cross multiply
    78.63x = 107.85 × 72.15
  4. Step 4: Simplify right side
    78.63x = 7,781.38
  5. Step 5: Solve for x
    x = 7,781.38/78.63
  6. Step 6: Final answer
    x = 98.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.