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Finding the Fourth Proportional to 78.75, 108.68 and 59.31

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Solution

The fourth proportional to 78.75, 108.68 and 59.31 is: 81.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.75 : 108.68 = 59.31 : x
  2. Step 2: Convert to fraction form
    78.75/108.68 = 59.31/x
  3. Step 3: Cross multiply
    78.75x = 108.68 × 59.31
  4. Step 4: Simplify right side
    78.75x = 6,446.23
  5. Step 5: Solve for x
    x = 6,446.23/78.75
  6. Step 6: Final answer
    x = 81.85

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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.