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Finding the Fourth Proportional to 231.16, 346.80 and 77.12

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Solution

The fourth proportional to 231.16, 346.80 and 77.12 is: 115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 346.80 = 77.12 : x
  2. Step 2: Convert to fraction form
    231.16/346.80 = 77.12/x
  3. Step 3: Cross multiply
    231.16x = 346.80 × 77.12
  4. Step 4: Simplify right side
    231.16x = 26,745.22
  5. Step 5: Solve for x
    x = 26,745.22/231.16
  6. Step 6: Final answer
    x = 115.70

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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.