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Finding the Fourth Proportional to 155.23, 232.77 and 52.49

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Solution

The fourth proportional to 155.23, 232.77 and 52.49 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.23 : 232.77 = 52.49 : x
  2. Step 2: Convert to fraction form
    155.23/232.77 = 52.49/x
  3. Step 3: Cross multiply
    155.23x = 232.77 × 52.49
  4. Step 4: Simplify right side
    155.23x = 12,218.88
  5. Step 5: Solve for x
    x = 12,218.88/155.23
  6. Step 6: Final answer
    x = 78.72

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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.