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Finding the Fourth Proportional to 77.02, 115.60 and 54.34

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Solution

The fourth proportional to 77.02, 115.60 and 54.34 is: 81.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 115.60 = 54.34 : x
  2. Step 2: Convert to fraction form
    77.02/115.60 = 54.34/x
  3. Step 3: Cross multiply
    77.02x = 115.60 × 54.34
  4. Step 4: Simplify right side
    77.02x = 6,281.70
  5. Step 5: Solve for x
    x = 6,281.70/77.02
  6. Step 6: Final answer
    x = 81.56

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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.