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Finding the Fourth Proportional to 77.50, 116.16 and 54.55

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Solution

The fourth proportional to 77.50, 116.16 and 54.55 is: 81.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.50 : 116.16 = 54.55 : x
  2. Step 2: Convert to fraction form
    77.50/116.16 = 54.55/x
  3. Step 3: Cross multiply
    77.50x = 116.16 × 54.55
  4. Step 4: Simplify right side
    77.50x = 6,336.26
  5. Step 5: Solve for x
    x = 6,336.26/77.50
  6. Step 6: Final answer
    x = 81.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.