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Finding the Fourth Proportional to 77.10, 115.41 and 51.34

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Solution

The fourth proportional to 77.10, 115.41 and 51.34 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.10 : 115.41 = 51.34 : x
  2. Step 2: Convert to fraction form
    77.10/115.41 = 51.34/x
  3. Step 3: Cross multiply
    77.10x = 115.41 × 51.34
  4. Step 4: Simplify right side
    77.10x = 5,925.15
  5. Step 5: Solve for x
    x = 5,925.15/77.10
  6. Step 6: Final answer
    x = 76.85

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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.