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Finding the Fourth Proportional to 77.35, 116.45 and 57.20

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Solution

The fourth proportional to 77.35, 116.45 and 57.20 is: 86.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.35 : 116.45 = 57.20 : x
  2. Step 2: Convert to fraction form
    77.35/116.45 = 57.20/x
  3. Step 3: Cross multiply
    77.35x = 116.45 × 57.20
  4. Step 4: Simplify right side
    77.35x = 6,660.94
  5. Step 5: Solve for x
    x = 6,660.94/77.35
  6. Step 6: Final answer
    x = 86.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.