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Finding the Fourth Proportional to 155.29, 232.86 and 77.19

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Solution

The fourth proportional to 155.29, 232.86 and 77.19 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.29 : 232.86 = 77.19 : x
  2. Step 2: Convert to fraction form
    155.29/232.86 = 77.19/x
  3. Step 3: Cross multiply
    155.29x = 232.86 × 77.19
  4. Step 4: Simplify right side
    155.29x = 17,974.46
  5. Step 5: Solve for x
    x = 17,974.46/155.29
  6. Step 6: Final answer
    x = 115.75

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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.