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Finding the Fourth Proportional to 231.05, 346.58 and 76.99

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Solution

The fourth proportional to 231.05, 346.58 and 76.99 is: 115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.05 : 346.58 = 76.99 : x
  2. Step 2: Convert to fraction form
    231.05/346.58 = 76.99/x
  3. Step 3: Cross multiply
    231.05x = 346.58 × 76.99
  4. Step 4: Simplify right side
    231.05x = 26,682.52
  5. Step 5: Solve for x
    x = 26,682.52/231.05
  6. Step 6: Final answer
    x = 115.48

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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.