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Finding the Fourth Proportional to 155.20, 232.68 and 69.64

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Solution

The fourth proportional to 155.20, 232.68 and 69.64 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.20 : 232.68 = 69.64 : x
  2. Step 2: Convert to fraction form
    155.20/232.68 = 69.64/x
  3. Step 3: Cross multiply
    155.20x = 232.68 × 69.64
  4. Step 4: Simplify right side
    155.20x = 16,203.84
  5. Step 5: Solve for x
    x = 16,203.84/155.20
  6. Step 6: Final answer
    x = 104.41

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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.