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Finding the Fourth Proportional to 155.26, 232.81 and 52.51

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Solution

The fourth proportional to 155.26, 232.81 and 52.51 is: 78.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.26 : 232.81 = 52.51 : x
  2. Step 2: Convert to fraction form
    155.26/232.81 = 52.51/x
  3. Step 3: Cross multiply
    155.26x = 232.81 × 52.51
  4. Step 4: Simplify right side
    155.26x = 12,224.14
  5. Step 5: Solve for x
    x = 12,224.14/155.26
  6. Step 6: Final answer
    x = 78.73

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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.