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Finding the Fourth Proportional to 232.10, 348.12 and 69.77

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Solution

The fourth proportional to 232.10, 348.12 and 69.77 is: 104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.10 : 348.12 = 69.77 : x
  2. Step 2: Convert to fraction form
    232.10/348.12 = 69.77/x
  3. Step 3: Cross multiply
    232.10x = 348.12 × 69.77
  4. Step 4: Simplify right side
    232.10x = 24,286.59
  5. Step 5: Solve for x
    x = 24,286.59/232.10
  6. Step 6: Final answer
    x = 104.64

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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.