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Finding the Fourth Proportional to 77.62, 107.14 and 62.04

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Solution

The fourth proportional to 77.62, 107.14 and 62.04 is: 85.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.62 : 107.14 = 62.04 : x
  2. Step 2: Convert to fraction form
    77.62/107.14 = 62.04/x
  3. Step 3: Cross multiply
    77.62x = 107.14 × 62.04
  4. Step 4: Simplify right side
    77.62x = 6,646.97
  5. Step 5: Solve for x
    x = 6,646.97/77.62
  6. Step 6: Final answer
    x = 85.63

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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.