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Finding the Fourth Proportional to 77.30, 115.89 and 46.87

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Solution

The fourth proportional to 77.30, 115.89 and 46.87 is: 70.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.30 : 115.89 = 46.87 : x
  2. Step 2: Convert to fraction form
    77.30/115.89 = 46.87/x
  3. Step 3: Cross multiply
    77.30x = 115.89 × 46.87
  4. Step 4: Simplify right side
    77.30x = 5,431.47
  5. Step 5: Solve for x
    x = 5,431.47/77.30
  6. Step 6: Final answer
    x = 70.27

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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.