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Finding the Fourth Proportional to 155.22, 232.83 and 86.77

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Solution

The fourth proportional to 155.22, 232.83 and 86.77 is: 130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.22 : 232.83 = 86.77 : x
  2. Step 2: Convert to fraction form
    155.22/232.83 = 86.77/x
  3. Step 3: Cross multiply
    155.22x = 232.83 × 86.77
  4. Step 4: Simplify right side
    155.22x = 20,202.66
  5. Step 5: Solve for x
    x = 20,202.66/155.22
  6. Step 6: Final answer
    x = 130.16

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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.