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Finding the Fourth Proportional to 77.62, 107.08 and 46.53

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Solution

The fourth proportional to 77.62, 107.08 and 46.53 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.62 : 107.08 = 46.53 : x
  2. Step 2: Convert to fraction form
    77.62/107.08 = 46.53/x
  3. Step 3: Cross multiply
    77.62x = 107.08 × 46.53
  4. Step 4: Simplify right side
    77.62x = 4,982.43
  5. Step 5: Solve for x
    x = 4,982.43/77.62
  6. Step 6: Final answer
    x = 64.19

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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.